Jordan Forma Normal de uma Matriz Robert J. Lopez Professor Em\303\251rito, RHIT Maple Fellow, MaplesoftLUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic= Uma matriz quadrada \303\251 semelhante a uma matriz diagonal ou a uma matriz de Jordan, ou seja, uma matriz diagonal com uma mistura de 1s e 0s na superdiagonal. As colunas da matriz de transi\303\247\303\243o para uma matriz diagonaliz\303\241vel s\303\243o os autovetores da matriz. A matriz quadrada n\303\243o-diagonaliz\303\241vel n\303\243o tem autovetores linearmente independentes "suficientes" e \303\251 semelhante \303\240 sua matriz Jordan por meio de uma matriz de transi\303\247\303\243o composta de autovetores e autovetores generalizados. Selecionar os autovetores "corretos" e encontrar os autovetores generalizados requer um cuidado consider\303\241vel. A teoria subjacente \303\240 estrutura que d\303\241 suporte \303\240 forma de Jordan \303\251 uma das matem\303\241ticas mais abstratas encontradas no primeiro curso de \303\241lgebra linear. Na verdade, muitos textos importantes de gradua\303\247\303\243o hoje simplesmente omitem essa discuss\303\243o. Este post explora c\303\241lculos pelos quais a matriz de transi\303\247\303\243o para a forma de Jordan pode ser constru\303\255da e, ao fazer isso, ilustra um pouco da teoria subjacente. LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic= LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEocmVzdGFydEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnL0YzUSdub3JtYWxGJw== LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2JVEld2l0aEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JKG1mZW5jZWRHRiQ2JC1GIzYlLUYsNiVRLkxpbmVhckFsZ2VicmFGJ0YvRjIvJStleGVjdXRhYmxlR1EmZmFsc2VGJy9GM1Enbm9ybWFsRidGQC1JI21vR0YkNi1RIjpGJ0ZALyUmZmVuY2VHRj8vJSpzZXBhcmF0b3JHRj8vJSlzdHJldGNoeUdGPy8lKnN5bW1ldHJpY0dGPy8lKGxhcmdlb3BHRj8vJS5tb3ZhYmxlbGltaXRzR0Y/LyUnYWNjZW50R0Y/LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGVkY9RkA= LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2JVEld2l0aEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JKG1mZW5jZWRHRiQ2JC1GIzYlLUYsNiVRKWNvbWJpbmF0RidGL0YyLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvRjNRJ25vcm1hbEYnRkAtSSNtb0dGJDYtUSI6RidGQC8lJmZlbmNlR0Y/LyUqc2VwYXJhdG9yR0Y/LyUpc3RyZXRjaHlHRj8vJSpzeW1tZXRyaWNHRj8vJShsYXJnZW9wR0Y/LyUubW92YWJsZWxpbWl0c0dGPy8lJ2FjY2VudEdGPy8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRlZGPUZA JSFH

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic= A Tabela 1 exibe o 7\303\2277 matriz LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JlEiQUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnRjIvRjZRJ25vcm1hbEYn, sua forma normal de Jordan LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JlEiSkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnRjIvRjZRJ25vcm1hbEYn, e a matriz de transi\303\247\303\243o LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JlEiUEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnRjIvRjZRJ25vcm1hbEYn para a transforma\303\247\303\243o de similaridade 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. A matriz de Jordan \303\251 uma matriz de bloco diagonal com quatro blocos distintos de ordens 2 \303\227 2, 3 \303\227 3, 1 \303\227 1, 1 \303\227 1.Os autovalores de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JlEiQUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnRjIvRjZRJ25vcm1hbEYn aparecem na diagonal principal de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JlEiSkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnRjIvRjZRJ25vcm1hbEYn; o autovalor 2 tem multiplicidade alg\303\251brica 7, mas multiplicidade geom\303\251trica 4, o mesmo n\303\272mero que o n\303\272mero de blocos em LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JlEiSkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnRjIvRjZRJ25vcm1hbEYn. Cada bloco representa um dos quatro vetores pr\303\263prios. Para determinar as colunas de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JlEiUEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnRjIvRjZRJ25vcm1hbEYn, \303\251 necess\303\241rio primeiro saber os tamanhos dos blocos em LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JlEiSkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnRjIvRjZRJ25vcm1hbEYn. Assim, algo deve ser aprendido sobre a estrutura do LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JlEiSkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnRjIvRjZRJ25vcm1hbEYn antes que se possa encontrar a matriz de transi\303\247\303\243oLUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JlEiUEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnRjIvRjZRJ25vcm1hbEYn que converte LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JlEiQUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnRjIvRjZRJ25vcm1hbEYn para LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JlEiSkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnRjIvRjZRJ25vcm1hbEYn. LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic= 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 JSFH 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 LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic= LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYpLUkjbWlHRiQ2JVEiSkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RKiZjb2xvbmVxO0YnL0YzUSdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGPS8lKXN0cmV0Y2h5R0Y9LyUqc3ltbWV0cmljR0Y9LyUobGFyZ2VvcEdGPS8lLm1vdmFibGVsaW1pdHNHRj0vJSdhY2NlbnRHRj0vJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZMLUkobWFjdGlvbkdGJDYkLUYjNiYtSShtZmVuY2VkR0YkNigtRiM2KC1JJ210YWJsZUdGJDY7LUkkbXRyR0YkNiwtSSRtdGRHRiQ2KC1JI21uR0YkNiRRIjJGJ0Y5LyUpcm93YWxpZ25HUSFGJy8lLGNvbHVtbmFsaWduR0Ziby8lK2dyb3VwYWxpZ25HRmJvLyUocm93c3BhbkdRIjFGJy8lK2NvbHVtbnNwYW5HRmlvLUZqbjYoLUZdbzYkRmlvRjlGYG9GY29GZW9GZ29Gam8tRmpuNigtRl1vNiRRIjBGJ0Y5RmBvRmNvRmVvRmdvRmpvRmBwRmBwRmBwRmBwRmBvRmNvRmVvLUZnbjYsRmBwRmluRmBwRmBwRmBwRmBwRmBwRmBvRmNvRmVvLUZnbjYsRmBwRmBwRmluRlxwRmBwRmBwRmBwRmBvRmNvRmVvLUZnbjYsRmBwRmBwRmBwRmluRlxwRmBwRmBwRmBvRmNvRmVvLUZnbjYsRmBwRmBwRmBwRmBwRmluRmBwRmBwRmBvRmNvRmVvLUZnbjYsRmBwRmBwRmBwRmBwRmBwRmluRmBwRmBvRmNvRmVvLUZnbjYsRmBwRmBwRmBwRmBwRmBwRmBwRmluRmBvRmNvRmVvLyUmYWxpZ25HUSVheGlzRicvRmFvUSliYXNlbGluZUYnL0Zkb1EmcmlnaHRGJy9GZm9RJ3xmcmxlZnR8aHJGJy8lL2FsaWdubWVudHNjb3BlR0YxLyUsY29sdW1ud2lkdGhHUSVhdXRvRicvJSZ3aWR0aEdGXnIvJStyb3dzcGFjaW5nR1EmMS4wZXhGJy8lLmNvbHVtbnNwYWNpbmdHUSYwLjhlbUYnLyUpcm93bGluZXNHUSVub25lRicvJSxjb2x1bW5saW5lc0dGaXIvJSZmcmFtZUdGaXIvJS1mcmFtZXNwYWNpbmdHUSwwLjRlbX4wLjVleEYnLyUqZXF1YWxyb3dzR0Y9LyUtZXF1YWxjb2x1bW5zR0Y9LyUtZGlzcGxheXN0eWxlR0Y9LyUlc2lkZUdGZ3EvJTBtaW5sYWJlbHNwYWNpbmdHRmZyLyUrZm9yZWdyb3VuZEdRKlswLDAsMjU1XUYnLyUrZXhlY3V0YWJsZUdGPS8lKXJlYWRvbmx5R0YxLyUwZm9udF9zdHlsZV9uYW1lR1EqMkR+T3V0cHV0RidGOUY5L0krbXNlbWFudGljc0dGJFEnTWF0cml4RicvJSVvcGVuR1EiW0YnLyUmY2xvc2VHUSJdRidGZXQtRjY2LVEiOkYnRjlGO0Y+RkBGQkZERkZGSEZKRk1GOUZldC8lK2FjdGlvbnR5cGVHUS5ydGFibGVhZGRyZXNzRictRiw2I0Zib0ZedC9GY3RRKDJEfk1hdGhGJ0Y5 Tabela1 A matriz LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JlEiQUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnRjIvRjZRJ25vcm1hbEYn, sua matriz de transi\303\247\303\243o LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JlEiUEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnRjIvRjZRJ25vcm1hbEYn, e sua forma normal de Jordan LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JlEiSkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnRjIvRjZRJ25vcm1hbEYn LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic= Um autovetor de uma matriz A \303\251 um vetor que permanece invariante sob multiplica\303\247\303\243o por A. Em particular, \303\251 um vetor LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2KFEieEYnLyUlYm9sZEdRJXRydWVGJy8lJ2l0YWxpY0dRJmZhbHNlRicvJStleGVjdXRhYmxlR0Y0LyUsbWF0aHZhcmlhbnRHUSVib2xkRicvJStmb250d2VpZ2h0R0Y5RjUvRjhRJ25vcm1hbEYn isso satisfaz a equa\303\247\303\243o 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, para um valor espec\303\255fico da constante LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JlEnJiM5NTU7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUrZXhlY3V0YWJsZUdGMS8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRidGMkY0 chamado de autovalor. Claramente, se 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 \303\251 um par pr\303\263prio para LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JlEiQUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnRjIvRjZRJ25vcm1hbEYn, ent\303\243o \303\251 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, para qualquer m\303\272ltiplo escalar LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JlEiYUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnRjIvRjZRJ25vcm1hbEYn. Assim, um autovetor \303\251 realmente uma "autodire\303\247\303\243o", ou seja, uma dire\303\247\303\243o que permanece inalterada sob a multiplica\303\247\303\243o por LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JlEiQUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnRjIvRjZRJ25vcm1hbEYn. Se LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JlEiUEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnRjIvRjZRJ25vcm1hbEYn \303\251 uma matriz de transi\303\247\303\243o pela qual LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JlEiQUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnRjIvRjZRJ25vcm1hbEYn \303\251 semelhante \303\240 sua forma Jordan LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JlEiSkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnRjIvRjZRJ25vcm1hbEYn, ent\303\243o n\303\263s temos 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, or LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2JlEjQVBGJy8lJ2l0YWxpY0dRJXRydWVGJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi5RIj1GJ0YyL0Y2USdub3JtYWxGJy8lJmZlbmNlR0Y0LyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRk4tRiw2JlEjUEpGJ0YvRjJGNUYyRjw=. Os autovetores e autovetores generalizados de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JlEiQUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnRjIvRjZRJ25vcm1hbEYn s\303\243o as colunas deLUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JlEiUEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnRjIvRjZRJ25vcm1hbEYn. Para ver o que LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JlEiQUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnRjIvRjZRJ25vcm1hbEYn faz com essas colunas, \303\251 suficiente comparar LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JlEiUEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnRjIvRjZRJ25vcm1hbEYn ao produto PJ, conforme Tabela 2. LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYpLUkjbWlHRiQ2JVEiUEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIixGJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRjEvJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdRLDAuMzMzMzMzM2VtRidGKy1GNjYtUSIuRidGOUY7L0Y/Rj1GQEZCRkRGRkZIRkovRk5GTC1GLDYlUSJKRidGL0YyLyUrZXhlY3V0YWJsZUdGPUY5

= 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

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic= Tabela 2 As matrizes LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JlEiUEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnRjIvRjZRJ25vcm1hbEYn e LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JlEjUEpGJy8lJ2l0YWxpY0dRJXRydWVGJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJ0YyL0Y2USdub3JtYWxGJw== LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic= A inspe\303\247\303\243o cuidadosa das matrizes na Tabela 2 revelaria que se 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, ent\303\243o 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 As colunas 1, 3, 6 e 7 da matriz de transi\303\247\303\243o P s\303\243o autovetores; as colunas 2, 3 e 5 s\303\243o autovetores generalizados. A Tabela 3 afirma isso em termos da matriz LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JlEiQUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnRjIvRjZRJ25vcm1hbEYn. 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 Tabela 3 Autovetores e autovetores generalizados de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JlEiQUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnRjIvRjZRJ25vcm1hbEYn O espa\303\247o pr\303\263prio \303\251 medido pelos quatro vetores pr\303\263prios 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. Os autovetores generalizados 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 s\303\243o "encadeados" aos vetores pr\303\263prios. Existem cadeias de comprimentos 2, 3, 1 e 1. Na base de cada cadeia est\303\241 um autovetor. Quaisquer membros restantes de uma cadeia s\303\243o autovetores generalizados. Para determinar a estrutura da forma Jordan LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JlEiSkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnRjIvRjZRJ25vcm1hbEYn, deve-se saber o n\303\272mero de cadeias e o comprimento de cada cadeia. LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=

JSFH A Tabela 4 define a matriz 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, com o autovalor LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JlEnJiM5NTU7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUrZXhlY3V0YWJsZUdGMS8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRidGMkY0 definido igual a 2, e LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JlEiSUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnRjIvRjZRJ25vcm1hbEYn sendo a matriz de identidade. 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

= LUknTWF0cml4RzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiNiMvSSQlaWRHRiciNXUkUjtIM1Qpb1c9

Tabela 4 A matriz 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 JSFH Para LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JlEibkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnRjIvRjZRJ25vcm1hbEYn\303\227LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JlEibkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnRjIvRjZRJ25vcm1hbEYn = 7\303\2277 matriz LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JlEiQUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnRjIvRjZRJ25vcm1hbEYn, deixe LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2JlEnJiM5NTc7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUrZXhlY3V0YWJsZUdGMS8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRictSSNtb0dGJDYuUSI9RidGMkY0LyUmZmVuY2VHRjEvJSpzZXBhcmF0b3JHRjEvJSlzdHJldGNoeUdGMS8lKnN5bW1ldHJpY0dGMS8lKGxhcmdlb3BHRjEvJS5tb3ZhYmxlbGltaXRzR0YxLyUnYWNjZW50R0YxLyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGSy1JI21uR0YkNiVRIjdGJ0YyRjRGMkY0 seja a multiplicidade alg\303\251brica do autovalor 2, e determine o inteiro 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. Deixe LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JlEibUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnRjIvRjZRJ25vcm1hbEYn seja o menor inteiro k para o qual a classifica\303\247\303\243o de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1cEdGJDYlLUkjbWlHRiQ2JlEiQ0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUYjNiYtRi82JlEia0YnRjJGNUY4RjJGNUY4LyUxc3VwZXJzY3JpcHRzaGlmdEdRIjBGJ0Y1L0Y5USdub3JtYWxGJw== \303\251 igual a LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JlEnJiM5NTY7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUrZXhlY3V0YWJsZUdGMS8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRidGMkY0. O inteiro LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JlEibUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnRjIvRjZRJ25vcm1hbEYn \303\251 chamado de \303\255ndice de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JlEiQ0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnRjIvRjZRJ25vcm1hbEYn. A Tabela 5 mostra que LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2JlEibUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LlEiPUYnRjIvRjZRJ25vcm1hbEYnLyUmZmVuY2VHRjQvJSpzZXBhcmF0b3JHRjQvJSlzdHJldGNoeUdGNC8lKnN5bW1ldHJpY0dGNC8lKGxhcmdlb3BHRjQvJS5tb3ZhYmxlbGltaXRzR0Y0LyUnYWNjZW50R0Y0LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTi1JI21uR0YkNiVRIjNGJ0YyRjxGMkY8 para a matriz LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JlEiQ0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnRjIvRjZRJ25vcm1hbEYn na Tabela 4. JSFH LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVElUmFua0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JKG1mZW5jZWRHRiQ2JC1GIzYlLUYsNiVRIkNGJ0YvRjIvJStleGVjdXRhYmxlR1EmZmFsc2VGJy9GM1Enbm9ybWFsRidGQEY9RkA=

= IiIk

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

= IiIi

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

= IiIh

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic= Tabela 5 O ondice de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JlEiQ0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnRjIvRjZRJ25vcm1hbEYn \303\251 3 JSFH O \303\255ndice de C tamb\303\251m pode ser encontrado a partir do polin\303\264mio m\303\255nimo para LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JlEiQUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnRjIvRjZRJ25vcm1hbEYn. O teorema de Cayley-Hamilton afirma que 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, tO polin\303\264mio caracter\303\255stico de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JlEiQUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnRjIvRjZRJ25vcm1hbEYn, aniquila LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JlEiQUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnRjIvRjZRJ25vcm1hbEYn (i.e., LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JlEiRkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkobWZlbmNlZEdGJDYlLUYjNiUtRiw2JlEiQUYnRi9GMkY1RjIvRjZRJ25vcm1hbEYnRjJGQEYyRkA= \303\251 a matriz zero). O polin\303\264mio m\303\255nimo \303\251 o polin\303\264mio de menor grau LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JlEiZkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkobWZlbmNlZEdGJDYlLUYjNiUtRiw2JlEieEYnRi9GMkY1RjIvRjZRJ25vcm1hbEYnRjJGQEYyRkA= para qual LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2JlEiZkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkobWZlbmNlZEdGJDYlLUYjNiUtRiw2JlEiQUYnRi9GMkY1RjIvRjZRJ25vcm1hbEYnRjJGQC1JI21vR0YkNi5RIj1GJ0YyRkAvJSZmZW5jZUdGNC8lKnNlcGFyYXRvckdGNC8lKXN0cmV0Y2h5R0Y0LyUqc3ltbWV0cmljR0Y0LyUobGFyZ2VvcEdGNC8lLm1vdmFibGVsaW1pdHNHRjQvJSdhY2NlbnRHRjQvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZWLUkjbW5HRiQ2JVEiMEYnRjJGQEYyRkA=. Os polin\303\264mios caracter\303\255sticos e m\303\255nimos para A s\303\243o fornecidos na Tabela 6. 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

= KiQpLCZJJ2xhbWJkYUc2IiIiIiIiIyEiIiIiKEYn

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

= KiQpLCZJJ2xhbWJkYUc2IiIiIiIiIyEiIiIiJEYn

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic= Tabela 6 Polin\303\264mios caracter\303\255sticos e m\303\255nimos para LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JlEiQUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnRjIvRjZRJ25vcm1hbEYn LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic= No polin\303\264mio m\303\255nimo, o grau do fator que cont\303\251m um determinado valor pr\303\263prio LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUklbXN1YkdGJDYlLUkjbWlHRiQ2JlEnJiM5NTU7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUrZXhlY3V0YWJsZUdGNC8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRictRiM2Ji1GLzYmUSJqRicvRjNRJXRydWVGJ0Y1L0Y4USdpdGFsaWNGJ0Y/RjVGQS8lL3N1YnNjcmlwdHNoaWZ0R1EiMEYnLUYvNiNRIUYnRjVGNw== d\303\241 o \303\255ndice da matriz 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. O \303\255ndice de 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 \303\251 o comprimento da cadeia mais longa. Antes de podermos fazer mais progressos na desconstru\303\247\303\243o da estrutura de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JlEiSkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnRjIvRjZRJ25vcm1hbEYn, precisamos da seguinte defini\303\247\303\243o. A classifica\303\247\303\243o de x, um membro em uma cadeia de autovetores generalizados, \303\251 o menor inteiro k para o 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. portanto, 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, mas LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUklbXN1cEdGJDYlLUkjbWlHRiQ2JlEiQ0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUYjNigtRi82JlEia0YnRjJGNUY4LUkjbW9HRiQ2LlEoJm1pbnVzO0YnRjUvRjlRJ25vcm1hbEYnLyUmZmVuY2VHRjcvJSpzZXBhcmF0b3JHRjcvJSlzdHJldGNoeUdGNy8lKnN5bW1ldHJpY0dGNy8lKGxhcmdlb3BHRjcvJS5tb3ZhYmxlbGltaXRzR0Y3LyUnYWNjZW50R0Y3LyUnbHNwYWNlR1EsMC4yMjIyMjIyZW1GJy8lJ3JzcGFjZUdGVi1JI21uR0YkNiVRIjFGJ0Y1RkRGMkY1RjgvJTFzdXBlcnNjcmlwdHNoaWZ0R1EiMEYnLUYvNihRInhGJy8lJWJvbGRHRjQvRjNGN0Y1L0Y5USVib2xkRicvJStmb250d2VpZ2h0R0Zhby1GQTYuUSsmTm90RXF1YWw7RidGNUZERkZGSEZKRkxGTkZQRlIvRlVRLDAuMjc3Nzc3OGVtRicvRlhGaG8tRlo2J0ZpbkZdb0Y1RmBvRmJvRjVGRA==. Defini\303\247\303\243o 1 Classifica\303\247\303\243o de um autovetor generalizado Em ess\303\252ncia, o membro da cadeia x tem posto s se x estiver no espa\303\247o nulo deLUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbW9HRiQ2LlEifkYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHRjEvJSpzZXBhcmF0b3JHRjEvJSlzdHJldGNoeUdGMS8lKnN5bW1ldHJpY0dGMS8lKGxhcmdlb3BHRjEvJS5tb3ZhYmxlbGltaXRzR0YxLyUnYWNjZW50R0YxLyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGRS1JJW1zdXBHRiQ2JS1JI21pR0YkNiZRIkNGJy8lJ2l0YWxpY0dRJXRydWVGJ0YvL0YzUSdpdGFsaWNGJy1GIzYmLUZMNiZRInNGJ0ZPRi9GUkZPRi9GUi8lMXN1cGVyc2NyaXB0c2hpZnRHUSIwRidGL0Yy, n\303\243o no espa\303\247o nulo de 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. Atribuir uma classifica\303\247\303\243o a um membro de uma cadeia de autovetores generalizados \303\251 simplesmente uma forma de registrar em qual espa\303\247o nulo esse vetor cai. Encontrar comprimentos de correntes mais curtos do que os mais longos requer os n\303\272meros 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 A Tabela 7 fornece os valores de 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, para a matriz LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JlEiQUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnRjIvRjZRJ25vcm1hbEYn na Tabela 1. Desde LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUklbXN1cEdGJDYlLUkjbWlHRiQ2JlEiQ0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUYjNiYtSSNtbkdGJDYlUSIwRidGNS9GOVEnbm9ybWFsRidGMkY1RjgvJTFzdXBlcnNjcmlwdHNoaWZ0R0ZALUkjbW9HRiQ2LlEiPUYnRjVGQS8lJmZlbmNlR0Y3LyUqc2VwYXJhdG9yR0Y3LyUpc3RyZXRjaHlHRjcvJSpzeW1tZXRyaWNHRjcvJShsYXJnZW9wR0Y3LyUubW92YWJsZWxpbWl0c0dGNy8lJ2FjY2VudEdGNy8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRlktRi82JlEiSUYnRjJGNUY4RjVGQQ==, a classifica\303\247\303\243o de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1cEdGJDYlLUkjbWlHRiQ2JlEiQ0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUYjNiYtSSNtbkdGJDYlUSIwRidGNS9GOVEnbm9ybWFsRidGMkY1RjgvJTFzdXBlcnNjcmlwdHNoaWZ0R0ZARjVGQQ== is 7. 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 LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbW5HRiQ2JFEiN0YnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy1JI21vR0YkNi1RKCZtaW51cztGJ0YvLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y4LyUpc3RyZXRjaHlHRjgvJSpzeW1tZXRyaWNHRjgvJShsYXJnZW9wR0Y4LyUubW92YWJsZWxpbWl0c0dGOC8lJ2FjY2VudEdGOC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkctSSNtaUdGJDYlUSVSYW5rRicvJSdpdGFsaWNHUSV0cnVlRicvRjBRJ2l0YWxpY0YnLUkobWZlbmNlZEdGJDYkLUYjNiUtRks2JVEiQ0YnRk5GUS8lK2V4ZWN1dGFibGVHRjhGL0YvRmVuRi8=

= IiIl

JSFH 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JSFH 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JSFH Tabela 7 Determina\303\247\303\243o do 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 Os dados da Tabela 7 indicam que existem quatro vetores de classifica\303\247\303\243o 1 (os quatro autovetores); dois vetores de classifica\303\247\303\243o 2 e 1 vetor de classifica\303\247\303\243o 3. Esses vetores s\303\243o organizados em quatro cadeias, representadas na Figura 1. 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Figure 1 Overlapping subspaces in LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1cEdGJDYlLUkjbWlHRiQ2JlEoJiM4NDc3O0YnLyUnaXRhbGljR1EmZmFsc2VGJy8lK2V4ZWN1dGFibGVHRjQvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLUYjNiYtSSNtbkdGJDYlUSI3RidGNUY3L0YzUSV0cnVlRidGNS9GOFEnaXRhbGljRicvJTFzdXBlcnNjcmlwdHNoaWZ0R1EiMEYnRjVGNw== induced by the matrix LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JlEiQUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnRjIvRjZRJ25vcm1hbEYn Os vetores LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2KFEicEYnLyUlYm9sZEdRJXRydWVGJy8lJ2l0YWxpY0dRJmZhbHNlRicvJStleGVjdXRhYmxlR0Y3LyUsbWF0aHZhcmlhbnRHUSVib2xkRicvJStmb250d2VpZ2h0R0Y8LUYjNiYtSSNtbkdGJDYlUSI2RidGOC9GO1Enbm9ybWFsRicvRjZGNEY4L0Y7USdpdGFsaWNGJy8lL3N1YnNjcmlwdHNoaWZ0R1EiMEYnRjhGRQ== e LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2KFEicEYnLyUlYm9sZEdRJXRydWVGJy8lJ2l0YWxpY0dRJmZhbHNlRicvJStleGVjdXRhYmxlR0Y3LyUsbWF0aHZhcmlhbnRHUSVib2xkRicvJStmb250d2VpZ2h0R0Y8LUYjNiYtSSNtbkdGJDYlUSI3RidGOC9GO1Enbm9ybWFsRicvRjZGNEY4L0Y7USdpdGFsaWNGJy8lL3N1YnNjcmlwdHNoaWZ0R1EiMEYnRjhGRQ==s\303\243o autovetores e nenhuma cadeia de autovetores generalizados emana de qualquer um desses dois vetores. O vetor LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2KFEicEYnLyUlYm9sZEdRJXRydWVGJy8lJ2l0YWxpY0dRJmZhbHNlRicvJStleGVjdXRhYmxlR0Y3LyUsbWF0aHZhcmlhbnRHUSVib2xkRicvJStmb250d2VpZ2h0R0Y8LUYjNiYtSSNtbkdGJDYlUSIxRidGOC9GO1Enbm9ybWFsRicvRjZGNEY4L0Y7USdpdGFsaWNGJy8lL3N1YnNjcmlwdHNoaWZ0R1EiMEYnRjhGRQ== \303\251 um autovetor, e \303\251 o in\303\255cio de uma cadeia de comprimento 2. Assim, o vetor LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2KFEicEYnLyUlYm9sZEdRJXRydWVGJy8lJ2l0YWxpY0dRJmZhbHNlRicvJStleGVjdXRhYmxlR0Y3LyUsbWF0aHZhcmlhbnRHUSVib2xkRicvJStmb250d2VpZ2h0R0Y8LUYjNiYtSSNtbkdGJDYlUSIyRidGOC9GO1Enbm9ybWFsRicvRjZGNEY4L0Y7USdpdGFsaWNGJy8lL3N1YnNjcmlwdHNoaWZ0R1EiMEYnRjhGRQ== \303\251 o autovetor generalizado no final desta cadeia de comprimento 2. O vetor LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2KFEicEYnLyUlYm9sZEdRJXRydWVGJy8lJ2l0YWxpY0dRJmZhbHNlRicvJStleGVjdXRhYmxlR0Y3LyUsbWF0aHZhcmlhbnRHUSVib2xkRicvJStmb250d2VpZ2h0R0Y8LUYjNiYtSSNtbkdGJDYlUSIzRidGOC9GO1Enbm9ybWFsRicvRjZGNEY4L0Y7USdpdGFsaWNGJy8lL3N1YnNjcmlwdHNoaWZ0R1EiMEYnRjhGRQ== \303\251 um autovetor, o in\303\255cio da cadeia de comprimento 3. O autovetor generalizado LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2KFEicEYnLyUlYm9sZEdRJXRydWVGJy8lJ2l0YWxpY0dRJmZhbHNlRicvJStleGVjdXRhYmxlR0Y3LyUsbWF0aHZhcmlhbnRHUSVib2xkRicvJStmb250d2VpZ2h0R0Y8LUYjNiYtSSNtbkdGJDYlUSI0RidGOC9GO1Enbm9ybWFsRicvRjZGNEY4L0Y7USdpdGFsaWNGJy8lL3N1YnNjcmlwdHNoaWZ0R1EiMEYnRjhGRQ==\303\251 o segundo membro desta cadeia, e o autovetor generalizado LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2KFEicEYnLyUlYm9sZEdRJXRydWVGJy8lJ2l0YWxpY0dRJmZhbHNlRicvJStleGVjdXRhYmxlR0Y3LyUsbWF0aHZhcmlhbnRHUSVib2xkRicvJStmb250d2VpZ2h0R0Y8LUYjNiYtSSNtbkdGJDYlUSI1RidGOC9GO1Enbm9ybWFsRicvRjZGNEY4L0Y7USdpdGFsaWNGJy8lL3N1YnNjcmlwdHNoaWZ0R1EiMEYnRjhGRQ== \303\251 o fim da cadeia mais longa. O espa\303\247o pr\303\263prio LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2JlEiTUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUYjNiYtSSNtbkdGJDYlUSIxRidGNS9GOVEnbm9ybWFsRidGMkY1RjgvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJ0Y1RkE=\303\251 o espa\303\247o nulo da matriz LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JlEiQ0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnRjIvRjZRJ25vcm1hbEYn. O subespa\303\247o LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2JlEiTUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUYjNiYtSSNtbkdGJDYlUSIyRidGNS9GOVEnbm9ybWFsRidGMkY1RjgvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJ0Y1RkE= \303\251 o espa\303\247o nulo deLUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1cEdGJDYlLUkjbWlHRiQ2JlEiQ0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUYjNiYtSSNtbkdGJDYlUSIyRidGNS9GOVEnbm9ybWFsRidGMkY1RjgvJTFzdXBlcnNjcmlwdHNoaWZ0R1EiMEYnRjVGQQ==, mas 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, isto \303\251, o espa\303\247o pr\303\263prio LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2JlEiTUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUYjNiYtSSNtbkdGJDYlUSIxRidGNS9GOVEnbm9ybWFsRidGMkY1RjgvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJ0Y1RkE= \303\251 um subespa\303\247o de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2JlEiTUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUYjNiYtSSNtbkdGJDYlUSIyRidGNS9GOVEnbm9ybWFsRidGMkY1RjgvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJ0Y1RkE=. Da mesma forma, 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 de modo a LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2JlEiTUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUYjNiYtSSNtbkdGJDYlUSIyRidGNS9GOVEnbm9ybWFsRidGMkY1RjgvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJ0Y1RkE= \303\251 um subespa\303\247o de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2JlEiTUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUYjNiYtSSNtbkdGJDYlUSIzRidGNS9GOVEnbm9ybWFsRidGMkY1RjgvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJ0Y1RkE=. Neste exemplo, 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, todo o espa\303\247o, ent\303\243o temosLUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYrLUklbXN1YkdGJDYlLUkjbWlHRiQ2JlEiTUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUYjNiYtSSNtbkdGJDYlUSIxRidGNS9GOVEnbm9ybWFsRidGMkY1RjgvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJy1JI21vR0YkNi5RJiZzdWI7RidGNUZBLyUmZmVuY2VHRjcvJSpzZXBhcmF0b3JHRjcvJSlzdHJldGNoeUdGNy8lKnN5bW1ldHJpY0dGNy8lKGxhcmdlb3BHRjcvJS5tb3ZhYmxlbGltaXRzR0Y3LyUnYWNjZW50R0Y3LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGWi1GLDYlRi4tRiM2Ji1GPjYlUSIyRidGNUZBRjJGNUY4RkNGRi1GLDYlRi4tRiM2Ji1GPjYlUSIzRidGNUZBRjJGNUY4RkMtRkc2LlEiPUYnRjVGQUZKRkxGTkZQRlJGVEZWRlhGZW4tSSVtc3VwR0YkNiUtRi82JlEoJiM4NDc3O0YnL0YzRjdGNUZBLUYjNiYtRj42JVEiN0YnRjVGQUYyRjVGOC8lMXN1cGVyc2NyaXB0c2hpZnRHRkVGNUZB. A Tabela 3, portanto, pode ser expressa pelas equa\303\247\303\265es da Tabela 8. 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 LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYqLUkjbWlHRiQ2JlEiQ0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LlEifkYnRjIvRjZRJ25vcm1hbEYnLyUmZmVuY2VHRjQvJSpzZXBhcmF0b3JHRjQvJSlzdHJldGNoeUdGNC8lKnN5bW1ldHJpY0dGNC8lKGxhcmdlb3BHRjQvJS5tb3ZhYmxlbGltaXRzR0Y0LyUnYWNjZW50R0Y0LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGTi1JJW1zdWJHRiQ2JS1GLDYoUSJwRicvJSVib2xkR0YxL0YwRjRGMi9GNlElYm9sZEYnLyUrZm9udHdlaWdodEdGZW4tRiM2Ji1JI21uR0YkNiVRIjZGJ0YyRjxGL0YyRjUvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJy1GOTYuUSI9RidGMkY8Rj5GQEZCRkRGRkZIRkovRk1RLDAuMjc3Nzc3OGVtRicvRlBGZW8tRltvNidGYG9GV0YyRlpGZm4tRiw2I1EhRidGMkY8 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 Tabela 8 Cadeias de autovetores generalizadas e a matriz 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 LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic= O comprimento da cadeia para os autovetores generalizados nos diz de qual LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2JlEiTUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUYjNiYtRi82JlEia0YnRjJGNUY4RjJGNUY4LyUvc3Vic2NyaXB0c2hpZnRHUSIwRidGNS9GOVEnbm9ybWFsRic= para selecionar o fim da cadeia. Como pode ser visto na Tabela 8, se o autovetor generalizado no final da cadeia \303\251 conhecido, a cadeia completa pode ser calculada multiplicando sucessivamente por LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JlEiQ0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnRjIvRjZRJ25vcm1hbEYn. Portanto, primeiro obtemos bases para os espa\303\247os nulos LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2JlEiTUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUYjNiYtRi82JlEia0YnRjJGNUY4RjJGNUY4LyUvc3Vic2NyaXB0c2hpZnRHUSIwRidGNS9GOVEnbm9ybWFsRic=. LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic= 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

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2JVEkTlMxRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LVEjOj1GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTC1JKG1mZW5jZWRHRiQ2Ji1GIzYsLUkobWFjdGlvbkdGJDYlLUZQNigtRiM2Ji1JJ210YWJsZUdGJDY7LUkkbXRyR0YkNiYtSSRtdGRHRiQ2KC1GIzYnLUY2Ni1RKiZ1bWludXMwO0YnRjlGO0Y+RkBGQkZERkZGSC9GS1EsMC4yMjIyMjIyZW1GJy9GTkZkby1JJm1mcmFjR0YkNigtSSNtbkdGJDYkUSIxRidGOS1Gam82JFEiMkYnRjkvJS5saW5ldGhpY2tuZXNzR0ZccC8lK2Rlbm9tYWxpZ25HUSdjZW50ZXJGJy8lKW51bWFsaWduR0ZkcC8lKWJldmVsbGVkR0Y9LyUrZm9yZWdyb3VuZEdRKFswLDAsMF1GJy8lKXJlYWRvbmx5R0Y9RjkvJSlyb3dhbGlnbkdRIUYnLyUsY29sdW1uYWxpZ25HRmBxLyUrZ3JvdXBhbGlnbkdGYHEvJShyb3dzcGFuR0ZccC8lK2NvbHVtbnNwYW5HRlxwRl5xRmFxRmNxLUZpbjYmLUZcbzYoLUYjNiVGYG9GaW9GOUZecUZhcUZjcUZlcUZncUZecUZhcUZjcUZpcS1GaW42Ji1GXG82KC1Gam82JFEiMEYnRjlGXnFGYXFGY3FGZXFGZ3FGXnFGYXFGY3FGX3JGX3ItRmluNiYtRlxvNihGaW9GXnFGYXFGY3FGZXFGZ3FGXnFGYXFGY3EvJSZhbGlnbkdRJWF4aXNGJy9GX3FRKWJhc2VsaW5lRicvRmJxRmRwL0ZkcVEnfGZybGVmdHxockYnLyUvYWxpZ25tZW50c2NvcGVHRjEvJSxjb2x1bW53aWR0aEdRJWF1dG9GJy8lJndpZHRoR0Zmcy8lK3Jvd3NwYWNpbmdHUSYxLjBleEYnLyUuY29sdW1uc3BhY2luZ0dRJjAuOGVtRicvJSlyb3dsaW5lc0dRJW5vbmVGJy8lLGNvbHVtbmxpbmVzR0ZhdC8lJmZyYW1lR0ZhdC8lLWZyYW1lc3BhY2luZ0dRLDAuNGVtfjAuNWV4RicvJSplcXVhbHJvd3NHRj0vJS1lcXVhbGNvbHVtbnNHRj0vJS1kaXNwbGF5c3R5bGVHRj0vJSVzaWRlR1EmcmlnaHRGJy8lMG1pbmxhYmVsc3BhY2luZ0dGXnRGaXBGXHFGOUY5L0krbXNlbWFudGljc0dGJFEqQ29sVmVjdG9yRicvJSVvcGVuR1EiW0YnLyUmY2xvc2VHUSJdRidGZHUvJSthY3Rpb250eXBlR1EucnRhYmxlYWRkcmVzc0YnLyUpcnRhYmxlaWRHUTUxODQ0Njg4NDEwODI5MDk1NDg0NkYnLUY2Ni1RIixGJ0Y5RjsvRj9GMUZARkJGREZGRkgvRktRJjAuMGVtRicvRk5RLDAuMzMzMzMzM2VtRictRlU2JS1GUDYoLUYjNiYtRmZuNjstRmluNiYtRlxvNigtRiM2J0Zgby1GZ282KC1Gam82JFEiNUYnRjlGXXBGYHBGYnBGZXBGZ3BGaXBGXHFGOUZecUZhcUZjcUZlcUZncUZecUZhcUZjcS1GaW42Ji1GXG82KC1GIzYlRmBvRl1wRjlGXnFGYXFGY3FGZXFGZ3FGXnFGYXFGY3EtRmluNiYtRlxvNigtRiM2JUZgby1Gam82JFEiNEYnRjlGOUZecUZhcUZjcUZlcUZncUZecUZhcUZjcUZfckZfckZmckZfckZqckZdc0Zfc0Zgc0Zic0Zkc0Znc0Zpc0ZcdEZfdEZidEZkdEZmdEZpdEZbdUZddUZfdUZidUZpcEZccUY5RjlGZHVGZ3VGanVGZHVGXXYvRmF2UTUxODQ0Njg4NDEwODI5MDk0NTcwMkYnRmN2LUZVNiUtRlA2KC1GIzYmLUZmbjY7LUZpbjYmLUZcbzYoRml3Rl5xRmFxRmNxRmVxRmdxRl5xRmFxRmNxLUZpbjYmLUZcbzYoRl1wRl5xRmFxRmNxRmVxRmdxRl5xRmFxRmNxLUZpbjYmLUZcbzYoLUZqbzYkUSIzRidGOUZecUZhcUZjcUZlcUZncUZecUZhcUZjcUZfckZmckZfckZfckZqckZdc0Zfc0Zgc0Zic0Zkc0Znc0Zpc0ZcdEZfdEZidEZkdEZmdEZpdEZbdUZddUZfdUZidUZpcEZccUY5RjlGZHVGZ3VGanVGZHVGXXYvRmF2UTUxODQ0Njg4NDEwODI5MDk0ODAxNEYnRmN2LUZVNiUtRlA2KC1GIzYmLUZmbjY7LUZpbjYmLUZcbzYoLUZnbzYoLUZqbzYkUSI3RidGOUZdcEZgcEZicEZlcEZncEZecUZhcUZjcUZlcUZncUZecUZhcUZjcUZfei1GaW42Ji1GXG82KC1Gam82JFEiNkYnRjlGXnFGYXFGY3FGZXFGZ3FGXnFGYXFGY3FGZnJGX3JGX3JGX3JGanJGXXNGX3NGYHNGYnNGZHNGZ3NGaXNGXHRGX3RGYnRGZHRGZnRGaXRGW3VGXXVGX3VGYnVGaXBGXHFGOUY5RmR1Rmd1Rmp1RmR1Rl12L0ZhdlE1MTg0NDY4ODQxMDgyOTA5NDEzMzRGJ0ZpcEZccUY5RjlGZ3VGanVGaXBGXHFGOQ==

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O espa\303\247o pr\303\263prio LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2JlEiTUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUYjNiYtSSNtbkdGJDYlUSIxRidGNS9GOVEnbm9ybWFsRidGMkY1RjgvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJ0Y1RkE= \303\251 medido pelos quatro vetores pr\303\263prios em LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JlEkTlMxRicvJSdpdGFsaWNHUSV0cnVlRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRidGMi9GNlEnbm9ybWFsRic=. O espa\303\247o envolvente LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2JlEiTUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUYjNiYtSSNtbkdGJDYlUSIyRidGNS9GOVEnbm9ybWFsRidGMkY1RjgvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJ0Y1RkE= \303\251 medido pelos seis vetores b\303\241sicos em LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JlEkTlMyRicvJSdpdGFsaWNHUSV0cnVlRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRidGMi9GNlEnbm9ybWFsRic=. Dev\303\255amos ter antecipado os sete vetores em LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JlEkTlMzRicvJSdpdGFsaWNHUSV0cnVlRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRidGMi9GNlEnbm9ybWFsRic= Desde 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; portanto, o vetor mais geral em LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2JlEiTUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUYjNiYtSSNtbkdGJDYlUSIzRidGNS9GOVEnbm9ybWFsRidGMkY1RjgvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJ0Y1RkE= ser\303\241 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

A cadeia de comprimento 3"termina" com um autovetor generalizado de classifica\303\247\303\243o 3. Este vetor encontra-se em LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUklbXN1YkdGJDYlLUkjbWlHRiQ2JlEiTUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUYjNiYtSSNtbkdGJDYlUSIzRidGNS9GOVEnbm9ybWFsRidGMkY1RjgvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJy1GLzYjUSFGJ0Y1RkE= de modo 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, mas LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUklbXN1cEdGJDYlLUkjbWlHRiQ2JlEiQ0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUYjNiYtSSNtbkdGJDYlUSIyRidGNS9GOVEnbm9ybWFsRidGMkY1RjgvJTFzdXBlcnNjcmlwdHNoaWZ0R1EiMEYnLUYvNihRIlhGJy8lJWJvbGRHRjQvRjNGN0Y1L0Y5USVib2xkRicvJStmb250d2VpZ2h0R0ZNRjVGQQ== n\303\243o deve ser o vetor zero. Claramente, LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYpLUklbXN1cEdGJDYlLUkjbWlHRiQ2JlEiQ0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUYjNiYtSSNtbkdGJDYlUSIzRidGNS9GOVEnbm9ybWFsRidGMkY1RjgvJTFzdXBlcnNjcmlwdHNoaWZ0R1EiMEYnLUkjbW9HRiQ2LlEifkYnRjVGQS8lJmZlbmNlR0Y3LyUqc2VwYXJhdG9yR0Y3LyUpc3RyZXRjaHlHRjcvJSpzeW1tZXRyaWNHRjcvJShsYXJnZW9wR0Y3LyUubW92YWJsZWxpbWl0c0dGNy8lJ2FjY2VudEdGNy8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHRlotRi82KFEiWEYnLyUlYm9sZEdGNC9GM0Y3RjUvRjlRJWJvbGRGJy8lK2ZvbnR3ZWlnaHRHRl5vLUZHNi5RIj1GJ0Y1RkFGSkZMRk5GUEZSRlRGVi9GWVEsMC4yNzc3Nzc4ZW1GJy9GZm5GZW8tRj42J0ZFRmpuRjVGXW9GX29GNUZB, como vemos de 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

LSZJJ1ZlY3Rvckc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkc2IjYjSSdjb2x1bW5HRig2Iy9JJCVpZEdGKCI1ISoqeV1HM1Qpb1c9

Devemos garantir que 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 para LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2KFEiWEYnLyUlYm9sZEdRJXRydWVGJy8lJ2l0YWxpY0dRJmZhbHNlRicvJStleGVjdXRhYmxlR0Y0LyUsbWF0aHZhcmlhbnRHUSVib2xkRicvJStmb250d2VpZ2h0R0Y5RjUvRjhRJ25vcm1hbEYn para ser um autovetor generalizado de classifica\303\247\303\243o 3. Consequentemente, calculamos 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

O vetor LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2KFEnJiM5NjY7RicvJSVib2xkR1EldHJ1ZUYnLyUnaXRhbGljR1EmZmFsc2VGJy8lK2V4ZWN1dGFibGVHRjQvJSxtYXRodmFyaWFudEdRJWJvbGRGJy8lK2ZvbnR3ZWlnaHRHRjlGNS9GOFEnbm9ybWFsRic= ser\303\241 diferente de zero fornecido 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

MCwwKiYiI0UiIiImSSJ4RzYiNiNGJkYmISIiKiYiI0tGJiZGKDYjIiIjRiZGKyomIiNRRiYmRig2IyIiJEYmRiYqJiIjVEYmJkYoNiMiIiVGJkYrKiYiIzpGJiZGKDYjIiImRiZGJiomIiNCRiYmRig2IyIiJ0YmRiYqJiIiKEYmJkYoNiNGRkYmRisiIiE=

Supondo que seja esse o caso, 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, isso \303\251 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

como o membro da cadeia em LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2JlEiTUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUYjNiYtSSNtbkdGJDYlUSIyRidGNS9GOVEnbm9ybWFsRidGMkY1RjgvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJ0Y1RkE=, e 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 como o membro no espa\303\247o pr\303\263prio LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2JlEiTUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUYjNiYtSSNtbkdGJDYlUSIxRidGNS9GOVEnbm9ybWFsRidGMkY1RjgvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJ0Y1RkE=. Desde que a condi\303\247\303\243o em (1) prevale\303\247a, temos, portanto, a cadeia de comprimento-3 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. Uma maneira alternativa de olhar para a condi\303\247\303\243o 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 \303\251 observar que X deve estar em LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2JlEiTUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUYjNiYtSSNtbkdGJDYlUSIzRidGNS9GOVEnbm9ybWFsRidGMkY1RjgvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJ0Y1RkE= mas n\303\243o emLUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2JlEiTUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUYjNiYtSSNtbkdGJDYlUSIyRidGNS9GOVEnbm9ybWFsRidGMkY1RjgvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJ0Y1RkE=. Isso significa que o componente de X que est\303\241 no complemento ortogonal de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2JlEiTUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUYjNiYtSSNtbkdGJDYlUSIyRidGNS9GOVEnbm9ybWFsRidGMkY1RjgvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJ0Y1RkE= n\303\243o deve ser zero. Ent\303\243o, para projetar X em LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2JlEiTUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUYjNiYtSSNtbkdGJDYlUSIyRidGNS9GOVEnbm9ybWFsRidGMkY1RjgvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJ0Y1RkE=, n\303\263s formamos a matriz de proje\303\247\303\243o 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, Onde LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JlEiTUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnRjIvRjZRJ25vcm1hbEYn \303\251 uma matriz cujas colunas s\303\243o os vetores que abrangem LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2JlEiTUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUYjNiYtSSNtbkdGJDYlUSIyRidGNS9GOVEnbm9ybWFsRidGMkY1RjgvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJ0Y1RkE=. LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYyLUkjbWlHRiQ2JVEiTUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RKiZjb2xvbmVxO0YnL0YzUSdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGPS8lKXN0cmV0Y2h5R0Y9LyUqc3ltbWV0cmljR0Y9LyUobGFyZ2VvcEdGPS8lLm1vdmFibGVsaW1pdHNHRj0vJSdhY2NlbnRHRj0vJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZMLUYsNiVRJ01hdHJpeEYnRi9GMi1JKG1mZW5jZWRHRiQ2JC1GIzYlLUYsNiVRJE5TMkYnRi9GMi8lK2V4ZWN1dGFibGVHRj1GOUY5LUY2Ni1RIjpGJ0Y5RjtGPkZARkJGREZGRkhGSkZNLUknbXNwYWNlR0YkNiYvJSdoZWlnaHRHUSYwLjBleEYnLyUmd2lkdGhHUSYwLjBlbUYnLyUmZGVwdGhHRl5vLyUqbGluZWJyZWFrR1EobmV3bGluZUYnLUY2Ni1RIn5GJ0Y5RjtGPkZARkJGREZGRkgvRktGYW8vRk5GYW8tRiw2JVEiUEYnRi9GMkY1RistRjY2LVEiLkYnRjlGO0Y+RkBGQkZERkZGSEZqb0ZbcC1JJW1zdXBHRiQ2JS1GUzYkLUYjNictRmNwNiVGKy1GIzYlLUY2Ni1RIitGJ0Y5RjtGPkZARkJGREZGRkgvRktRLDAuMjIyMjIyMmVtRicvRk5GYXFGL0YyLyUxc3VwZXJzY3JpcHRzaGlmdEdRIjBGJ0ZfcEYrRlpGOUY5LUYjNiYtRjY2LVEqJnVtaW51czA7RidGOUY7Rj5GQEZCRkRGRkZIRmBxRmJxLUkjbW5HRiQ2JFEiMUYnRjlGL0YyRmNxRl9wRmlwRlpGOQ==

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

O componente de X ortogonal aLUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2JlEiTUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUYjNiYtSSNtbkdGJDYlUSIyRidGNS9GOVEnbm9ybWFsRidGMkY1RjgvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJ0Y1RkE= \303\251 ent\303\243o 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A condi\303\247\303\243o L = 0 gera sete equa\303\247\303\265es homog\303\252neas, a partir das quais LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2JlEieEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUYjNiYtSSNtbkdGJDYlUSIxRidGNS9GOVEnbm9ybWFsRidGMkY1RjgvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJ0Y1RkE= pode ser eliminado atribuindo-lhe o valor 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

NyQ8Iy8mSSJ4RzYiNiMiIiIsLiomIyIjOiIjRUYpJkYmNiMiIiZGKUYpKiYjIiM7IiM4RikmRiY2IyIiI0YpISIiKiYjIiM+RjVGKSZGJjYjIiIkRilGKSomIyIjVEYuRikmRiY2IyIiJUYpRjkqJiMiI0JGLkYpJkYmNiMiIidGKUYpKiYjIiIoRi5GKSZGJjYjRk5GKUY5PCI=

O vetor LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2KFEnJiM5NjY7RicvJSVib2xkR1EldHJ1ZUYnLyUnaXRhbGljR1EmZmFsc2VGJy8lK2V4ZWN1dGFibGVHRjQvJSxtYXRodmFyaWFudEdRJWJvbGRGJy8lK2ZvbnR3ZWlnaHRHRjlGNS9GOFEnbm9ybWFsRic= \303\251 diferente de zero fornecido 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

LyZJInhHNiI2IyIiIiwuKiYjIiM6IiNFRicmRiQ2IyIiJkYnRicqJiMiIzsiIzhGJyZGJDYjIiIjRichIiIqJiMiIz5GM0YnJkYkNiMiIiRGJ0YnKiYjIiNURixGJyZGJDYjIiIlRidGNyomIyIjQkYsRicmRiQ2IyIiJ0YnRicqJiMiIihGLEYnJkYkNiNGTEYnRjc=

n\303\243o segura. As condi\303\247\303\265es s\303\243o as mesmas!

JSFH A cadeia de comprimento 2 "termina" em um autovetor generalizado em LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2JlEiTUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUYjNiYtSSNtbkdGJDYlUSIyRidGNS9GOVEnbm9ybWFsRidGMkY1RjgvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJ0Y1RkE= que \303\251 distinto do vetor LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2KFEnJiM5MzQ7RicvJSVib2xkR1EldHJ1ZUYnLyUnaXRhbGljR1EmZmFsc2VGJy8lK2V4ZWN1dGFibGVHRjQvJSxtYXRodmFyaWFudEdRJWJvbGRGJy8lK2ZvbnR3ZWlnaHRHRjlGNS9GOFEnbm9ybWFsRic=. Para encontrar um vetor em LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2JlEiTUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUYjNiYtSSNtbkdGJDYlUSIyRidGNS9GOVEnbm9ybWFsRidGMkY1RjgvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJ0Y1RkE= que \303\251 distinto de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2KFEnJiM5MzQ7RicvJSVib2xkR1EldHJ1ZUYnLyUnaXRhbGljR1EmZmFsc2VGJy8lK2V4ZWN1dGFibGVHRjQvJSxtYXRodmFyaWFudEdRJWJvbGRGJy8lK2ZvbnR3ZWlnaHRHRjlGNS9GOFEnbm9ybWFsRic=, considere como candidatos os seis vetores b\303\241sicos em LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JlEkTlMyRicvJSdpdGFsaWNHUSV0cnVlRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRidGMi9GNlEnbm9ybWFsRic=. Testamos a classifica\303\247\303\243o de cada matriz cuja primeira coluna \303\251 LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2KFEnJiM5MzQ7RicvJSVib2xkR1EldHJ1ZUYnLyUnaXRhbGljR1EmZmFsc2VGJy8lK2V4ZWN1dGFibGVHRjQvJSxtYXRodmFyaWFudEdRJWJvbGRGJy8lK2ZvbnR3ZWlnaHRHRjlGNS9GOFEnbm9ybWFsRic= e cuja segunda coluna \303\251 um desses vetores de base. Se a classifica\303\247\303\243o de qualquer uma dessas matrizes for 2, o vetor base correspondente \303\251 um candidato para o autovetor generalizado de classifica\303\247\303\243o 2 que termina a cadeia de comprimento 2. Os c\303\241lculos relevantes s\303\243o ent\303\243o 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

NigiIiNGI0YjRiNGI0Yj

As classifica\303\247\303\265es das seis matrizes poss\303\255veis s\303\243o todas 2; qualquer um dos seis vetores b\303\241sicos em LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JlEkTlMyRicvJSdpdGFsaWNHUSV0cnVlRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRidGMi9GNlEnbm9ybWFsRic= pode ser selecionado. A \303\242ncora desta cadeia \303\251, ent\303\243o, o vetor pr\303\263prio 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

onde o vetor selecionado de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2JlEiTUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUYjNiYtSSNtbkdGJDYlUSIyRidGNS9GOVEnbm9ybWFsRidGMkY1RjgvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJ0Y1RkE= \303\251 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

JSFH Agora temos cinco das sete colunas da matriz de transi\303\247\303\243o. As duas colunas restantes s\303\243o autovetores retirados do subespa\303\247o LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2JlEiTUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUYjNiYtSSNtbkdGJDYlUSIxRidGNS9GOVEnbm9ybWFsRidGMkY1RjgvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJ0Y1RkE=. tem 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

IiIn

maneiras de escolher dois vetores diferentes de um conjunto de quatro. As combina\303\247\303\265es expl\303\255citas s\303\243o LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2JVEmcGFpcnNGJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRictSSNtb0dGJDYtUSomY29sb25lcTtGJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTC1GLDYlUSdjaG9vc2VGJ0YvRjItSShtZmVuY2VkR0YkNiQtRiM2Jy1JI21uR0YkNiRRIjRGJ0Y5LUY2Ni1RIixGJ0Y5RjsvRj9GMUZARkJGREZGRkgvRktRJjAuMGVtRicvRk5RLDAuMzMzMzMzM2VtRictRlg2JFEiMkYnRjkvJStleGVjdXRhYmxlR0Y9RjlGOUZgb0Y5

Nyg3JCIiIiIiIzckRiQiIiQ3JEYkIiIlNyRGJUYnNyRGJUYpNyRGJ0Yp

Um m\303\251todo de for\303\247a bruta para escolher dois que constituem um conjunto linearmente independente de sete vetores para as colunas da matriz de transi\303\247\303\243o simplesmente testa a classifica\303\247\303\243o de cada matriz de transi\303\247\303\243o poss\303\255vel que pode ser constru\303\255da a partir dos cinco vetores que j\303\241 temos. A matriz de transi\303\247\303\243o resultante T \303\251 a primeira matriz cuja classifica\303\247\303\243o \303\251 7. JSFH 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Para verificar se a matriz de transi\303\247\303\243o T coloca A em sua forma Jordan, mostramos LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2JlEjQVRGJy8lJ2l0YWxpY0dRJXRydWVGJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi5RIj1GJ0YyL0Y2USdub3JtYWxGJy8lJmZlbmNlR0Y0LyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRk4tRiw2JlEjVEpGJ0YvRjJGNUYyRjw= ao inv\303\251s de 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. A matriz T \303\251 dif\303\255cil de inverter porque cont\303\251m muitos indeterminados; o seguinte teste que mostra LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2JlEjQVRGJy8lJ2l0YWxpY0dRJXRydWVGJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi5RKCZtaW51cztGJ0YyL0Y2USdub3JtYWxGJy8lJmZlbmNlR0Y0LyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRk4tRiw2JlEjVEpGJ0YvRjJGNUYyRjw= \303\251 a matriz zero, portanto, mais eficiente. JSFHJSFH 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

LUknTWF0cml4RzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiNiMvSSQlaWRHRiciNUkpUjtIM1Qpb1c9

JSFH H\303\241 uma certa flexibilidade nas escolhas dos autovetores generalizados nas cadeias cujos membros constituem as colunas da matriz de transi\303\247\303\243o. Como experi\303\252ncia, vamos come\303\247ar com a matriz de transi\303\247\303\243o JSFH 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

todos cujos 7 \303\227 7 = 49 membros s\303\243o indeterminados. Por for\303\247a bruta, configure e resolva as equa\303\247\303\265es inerentes a AQ = QJ. As equa\303\247\303\265es s\303\243o 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 A solu\303\247\303\243o \303\251 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

Isso traz a matriz de transi\303\247\303\243o Q para a forma 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 contendo o indeterminado 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

NzcmSSJxRzYiNiMiIiImRiQ2IyIiIyZGJDYjIiIlJkYkNiMiIiYmRiQ2IyIiJyZGJDYjIiIoJkYkNiMiIikmRiQ2IyIiKiZGJDYjIiM9JkYkNiMiI0UmRiQ2IyIjRiZGJDYjIiNHJkYkNiMiI0kmRiQ2IyIjSyZGJDYjIiNMJkYkNiMiI00mRiQ2IyIjTiZGJDYjIiNQJkYkNiMiI1MmRiQ2IyIjVCZGJDYjIiNV

cujo n\303\272mero \303\251 JSFH LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVElbm9wc0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JKG1mZW5jZWRHRiQ2JC1GIzYlLUYsNiVRI0wxRidGL0YyLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvRjNRJ25vcm1hbEYnRkBGPUZA

IiNA

Isso representa uma quantidade consider\303\241vel de escolha quando se seleciona autovetores generalizados. Quanta flexibilidade resta na escolha desses 21 par\303\242metros? Vamos atribuir aleatoriamente os seguintes valores a essas 21 inc\303\263gnitas via 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

NzciIiEhIiJGI0YjIiIiRiVGJUYlRiVGJUYjRiVGJEYkRiNGI0YlRiRGI0YlRiM=

a essas 21 inc\303\263gnitas. A matriz de transi\303\247\303\243o resultante ser\303\241 ent\303\243o JSFH 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

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2JVEiU0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIzo9RicvRjNRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y9LyUpc3RyZXRjaHlHRj0vJSpzeW1tZXRyaWNHRj0vJShsYXJnZW9wR0Y9LyUubW92YWJsZWxpbWl0c0dGPS8lJ2FjY2VudEdGPS8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRkwtSShtYWN0aW9uR0YkNiUtSShtZmVuY2VkR0YkNigtRiM2Ji1JJ210YWJsZUdGJDY7LUkkbXRyR0YkNiwtSSRtdGRHRiQ2KC1JI21uR0YkNiRRIjBGJ0Y5LyUpcm93YWxpZ25HUSFGJy8lLGNvbHVtbmFsaWduR0Zgby8lK2dyb3VwYWxpZ25HRmBvLyUocm93c3BhbkdRIjFGJy8lK2NvbHVtbnNwYW5HRmdvLUZobjYoLUYjNiUtRjY2LVEqJnVtaW51czA7RidGOUY7Rj5GQEZCRkRGRkZIL0ZLUSwwLjIyMjIyMjJlbUYnL0ZORmJwLUZbbzYkRmdvRjlGOUZeb0Zhb0Zjb0Zlb0Zob0Zqb0ZnbkZnbi1GaG42KEZkcEZeb0Zhb0Zjb0Zlb0Zob0ZmcEZeb0Zhb0Zjby1GZW42LEZmcEZmcEZqby1GaG42KC1GW282JFEiMkYnRjlGXm9GYW9GY29GZW9GaG8tRmhuNigtRltvNiRRIzExRidGOUZeb0Zhb0Zjb0Zlb0Zoby1GaG42KC1GW282JFEiNUYnRjlGXm9GYW9GY29GZW9GaG8tRmhuNigtRiM2JUZecEZmcUY5Rl5vRmFvRmNvRmVvRmhvRl5vRmFvRmNvLUZlbjYsRmpwLUZobjYoLUkmbWZyYWNHRiQ2KEZmcUZccS8lLmxpbmV0aGlja25lc3NHRmdvLyUrZGVub21hbGlnbkdRJ2NlbnRlckYnLyUpbnVtYWxpZ25HRmhyLyUpYmV2ZWxsZWRHRj1GXm9GYW9GY29GZW9GaG9GZ25GZnAtRmhuNigtRltvNiRRIjdGJ0Y5Rl5vRmFvRmNvRmVvRmhvLUZobjYoLUZbbzYkUSIzRidGOUZeb0Zhb0Zjb0Zlb0Zob0Zqb0Zeb0Zhb0Zjby1GZW42LEZqcC1GaG42KC1GYnI2KEZkc0ZccUZkckZmckZpckZbc0Zeb0Zhb0Zjb0Zlb0Zob0ZqcEZqb0ZmcEZnbkZmcEZeb0Zhb0Zjby1GZW42LEZqb0Zqb0Zqb0Zqb0ZnbkZnbkZmcEZeb0Zhb0Zjby1GZW42LEZqcEZqb0ZqcEZnbkZnbkZmcEZnbkZeb0Zhb0Zjby1GZW42LEZqby1GaG42KC1GIzYnRl5wRlt0LyUrZm9yZWdyb3VuZEdRKFswLDAsMF1GJy8lKXJlYWRvbmx5R0Y9RjlGXm9GYW9GY29GZW9GaG9GZnBGZ24tRmhuNigtRiM2JUZecC1GW282JFEjMThGJ0Y5RjlGXm9GYW9GY29GZW9GaG8tRmhuNigtRiM2JUZecEZfc0Y5Rl5vRmFvRmNvRmVvRmhvLUZobjYoLUZbbzYkUSMxMEYnRjlGXm9GYW9GY29GZW9GaG9GXm9GYW9GY28vJSZhbGlnbkdRJWF4aXNGJy9GX29RKWJhc2VsaW5lRicvRmJvRmhyL0Zkb1EnfGZybGVmdHxockYnLyUvYWxpZ25tZW50c2NvcGVHRjEvJSxjb2x1bW53aWR0aEdRJWF1dG9GJy8lJndpZHRoR0Zodi8lK3Jvd3NwYWNpbmdHUSYxLjBleEYnLyUuY29sdW1uc3BhY2luZ0dRJjAuOGVtRicvJSlyb3dsaW5lc0dRJW5vbmVGJy8lLGNvbHVtbmxpbmVzR0Zjdy8lJmZyYW1lR0Zjdy8lLWZyYW1lc3BhY2luZ0dRLDAuNGVtfjAuNWV4RicvJSplcXVhbHJvd3NHRj0vJS1lcXVhbGNvbHVtbnNHRj0vJS1kaXNwbGF5c3R5bGVHRj0vJSVzaWRlR1EmcmlnaHRGJy8lMG1pbmxhYmVsc3BhY2luZ0dGYHdGZ3RGanRGOUY5L0krbXNlbWFudGljc0dGJFEnTWF0cml4RicvJSVvcGVuR1EiW0YnLyUmY2xvc2VHUSJdRidGZngvJSthY3Rpb250eXBlR1EucnRhYmxlYWRkcmVzc0YnLyUpcnRhYmxlaWRHUTUxODQ0Njg4NDEwODI5MTY0MDEzNEYnRmd0Rmp0Rjk=

cuja classifica\303\247\303\243o n\303\263s verificamos JSFH LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVElUmFua0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JKG1mZW5jZWRHRiQ2JC1GIzYlLUYsNiVRIlNGJ0YvRjIvJStleGVjdXRhYmxlR1EmZmFsc2VGJy9GM1Enbm9ybWFsRidGQEY9RkA=

IiIo

e que testamos com JSFH 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

LUknTWF0cml4RzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiNiMvSSQlaWRHRiciNSdHUztIM1Qpb1c9

Se a classifica\303\247\303\243o de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JlEiU0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnRjIvRjZRJ25vcm1hbEYn n\303\243o \303\251 7, uma lista diferente LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2JlEiTEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUYjNiYtSSNtbkdGJDYlUSIyRidGNS9GOVEnbm9ybWFsRidGMkY1RjgvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJ0Y1RkE= precisaria ser gerado.

JSFH Uma quest\303\243o ainda mais interessante \303\251 se o processo de constru\303\247\303\243o de cadeias de autovetores generalizados pode ser revertido. Em outras palavras, podemos come\303\247ar com um autovetor E e avan\303\247ar na cadeia resolvendo equa\303\247\303\265es da forma LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2JlEiQ0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUYsNiZRInVGJy9GMEY0RjIvRjZRJ25vcm1hbEYnLUkjbW9HRiQ2LlEiPUYnRjJGPC8lJmZlbmNlR0Y0LyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRlItRiw2KFEiRUYnLyUlYm9sZEdGMUY7RjIvRjZRJWJvbGRGJy8lK2ZvbnR3ZWlnaHRHRmVuRjJGPA== para um autovetor generalizado u? Bem, a resposta \303\251 um sim qualificado, e os c\303\241lculos relevantes, fornecidos abaixo, mostram como isso pode ser feito. Para a equa\303\247\303\243o 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 para ter uma solu\303\247\303\243o, o vetor E deve estar no espa\303\247o da coluna de C. Assim, E deve estar no espa\303\247o nulo de C porque \303\251 um autovetor, e deve estar no espa\303\247o da coluna de C para sustentar uma cadeia de autovetores generalizados. Para encontrar uma base para o subespa\303\247o de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2JlEiTUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUYjNiYtSSNtbkdGJDYlUSIxRidGNS9GOVEnbm9ybWFsRidGMkY1RjgvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJ0Y1RkE= que \303\251 comum ao espa\303\247o de coluna de C, primeiro encontramos LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYpLUkjbWlHRiQ2JVEjQ1NGJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRictSSNtb0dGJDYtUSomY29sb25lcTtGJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTC1GLDYlUSxDb2x1bW5TcGFjZUYnRi9GMi1JKG1mZW5jZWRHRiQ2JC1GIzYkLUYsNiVRIkNGJ0YvRjJGOUY5LUYsNiNRIUYnLyUrZXhlY3V0YWJsZUdGPUY5

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2JVEjQ1NGJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRictSSNtb0dGJDYtUSM6PUYnL0YzUSdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGPS8lKXN0cmV0Y2h5R0Y9LyUqc3ltbWV0cmljR0Y9LyUobGFyZ2VvcEdGPS8lLm1vdmFibGVsaW1pdHNHRj0vJSdhY2NlbnRHRj0vJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZMLUkobWZlbmNlZEdGJDYmLUYjNiotSShtYWN0aW9uR0YkNiUtRlA2KC1GIzYmLUknbXRhYmxlR0YkNjstSSRtdHJHRiQ2Ji1JJG10ZEdGJDYoLUkjbW5HRiQ2JFEiMUYnRjkvJSlyb3dhbGlnbkdRIUYnLyUsY29sdW1uYWxpZ25HRmRvLyUrZ3JvdXBhbGlnbkdGZG8vJShyb3dzcGFuR0Zhby8lK2NvbHVtbnNwYW5HRmFvRmJvRmVvRmdvLUZpbjYmLUZcbzYoLUZfbzYkUSIwRidGOUZib0Zlb0Znb0Zpb0ZbcEZib0Zlb0Znb0ZdcC1GaW42Ji1GXG82KC1GIzYnLUY2Ni1RKiZ1bWludXMwO0YnRjlGO0Y+RkBGQkZERkZGSC9GS1EsMC4yMjIyMjIyZW1GJy9GTkZecS1JJm1mcmFjR0YkNigtRl9vNiRRIjJGJ0Y5LUZfbzYkUSIzRidGOS8lLmxpbmV0aGlja25lc3NHRmFvLyUrZGVub21hbGlnbkdRJ2NlbnRlckYnLyUpbnVtYWxpZ25HRl1yLyUpYmV2ZWxsZWRHRj0vJStmb3JlZ3JvdW5kR1EoWzAsMCwwXUYnLyUpcmVhZG9ubHlHRj1GOUZib0Zlb0Znb0Zpb0ZbcEZib0Zlb0Znby1GaW42Ji1GXG82KC1GYXE2KC1GX282JFEiNEYnRjlGZnFGaXFGW3JGXnJGYHJGYm9GZW9GZ29GaW9GW3BGYm9GZW9GZ28tRmluNiYtRlxvNigtRiM2J0ZqcEZbc0ZickZlckY5RmJvRmVvRmdvRmlvRltwRmJvRmVvRmdvRmBzLyUmYWxpZ25HUSVheGlzRicvRmNvUSliYXNlbGluZUYnL0Zmb0Zdci9GaG9RJ3xmcmxlZnR8aHJGJy8lL2FsaWdubWVudHNjb3BlR0YxLyUsY29sdW1ud2lkdGhHUSVhdXRvRicvJSZ3aWR0aEdGYnQvJStyb3dzcGFjaW5nR1EmMS4wZXhGJy8lLmNvbHVtbnNwYWNpbmdHUSYwLjhlbUYnLyUpcm93bGluZXNHUSVub25lRicvJSxjb2x1bW5saW5lc0dGXXUvJSZmcmFtZUdGXXUvJS1mcmFtZXNwYWNpbmdHUSwwLjRlbX4wLjVleEYnLyUqZXF1YWxyb3dzR0Y9LyUtZXF1YWxjb2x1bW5zR0Y9LyUtZGlzcGxheXN0eWxlR0Y9LyUlc2lkZUdRJnJpZ2h0RicvJTBtaW5sYWJlbHNwYWNpbmdHRmp0RmJyRmVyRjlGOS9JK21zZW1hbnRpY3NHRiRRKkNvbFZlY3RvckYnLyUlb3BlbkdRIltGJy8lJmNsb3NlR1EiXUYnRmB2LyUrYWN0aW9udHlwZUdRLnJ0YWJsZWFkZHJlc3NGJy8lKXJ0YWJsZWlkR1E1MTg0NDY4ODQxMDgyNzE1MTA1OTBGJy1GNjYtUSIsRidGOUY7L0Y/RjFGQEZCRkRGRkZIL0ZLUSYwLjBlbUYnL0ZOUSwwLjMzMzMzMzNlbUYnLUZVNiUtRlA2KC1GIzYmLUZmbjY7Rl1wRmhuRl1wRmBzLUZpbjYmLUZcbzYoLUYjNidGanAtRmFxNihGXm9GZnFGaXFGW3JGXnJGYHJGYnJGZXJGOUZib0Zlb0Znb0Zpb0ZbcEZib0Zlb0Znb0ZkcC1GaW42Ji1GXG82KEZleEZib0Zlb0Znb0Zpb0ZbcEZib0Zlb0Znb0Zmc0Zpc0ZbdEZcdEZedEZgdEZjdEZldEZodEZbdUZedUZgdUZidUZldUZndUZpdUZbdkZedkZickZlckY5RjlGYHZGY3ZGZnZGYHZGaXYvRl13UTUxODQ0Njg4NDEwODI3MTUxMjM1OEYnRl93LUZVNiUtRlA2KC1GIzYmLUZmbjY7Rl1wRl1wRmhuLUZpbjYmLUZcbzYoLUZhcTYoLUZfbzYkUSI1RidGOUZmcUZpcUZbckZeckZgckZib0Zlb0Znb0Zpb0ZbcEZib0Zlb0Znb0ZfeEZnckZkcEZmc0Zpc0ZbdEZcdEZedEZgdEZjdEZldEZodEZbdUZedUZgdUZidUZldUZndUZpdUZbdkZedkZickZlckY5RjlGYHZGY3ZGZnZGYHZGaXYvRl13UTUxODQ0Njg4NDEwODI3MTUxMzE3NEYnRmJyRmVyRjlGOUZjdkZmdkZickZlckY5

uma base para o espa\303\247o da coluna de C, ent\303\243o use 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

para encontrar uma base para a interse\303\247\303\243o de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2JlEiTUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUYjNiYtSSNtbkdGJDYlUSIxRidGNS9GOVEnbm9ybWFsRidGMkY1RjgvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJ0Y1RkE= com o espa\303\247o de coluna de C. Assim, o autovetor mais geral que pode suportar uma cadeia de autovetores generalizados \303\251 LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYtLUkjbWlHRiQ2J1EiR0YnLyUlYm9sZEdRJXRydWVGJy8lJ2l0YWxpY0dRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJWJvbGRGJy8lK2ZvbnR3ZWlnaHRHRjctSSNtb0dGJDYtUSomY29sb25lcTtGJy9GNlEnbm9ybWFsRicvJSZmZW5jZUdGNC8lKnNlcGFyYXRvckdGNC8lKXN0cmV0Y2h5R0Y0LyUqc3ltbWV0cmljR0Y0LyUobGFyZ2VvcEdGNC8lLm1vdmFibGVsaW1pdHNHRjQvJSdhY2NlbnRHRjQvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZQLUYsNiVRInVGJy9GM0YxL0Y2USdpdGFsaWNGJy1GOzYtUSJ+RidGPkZARkJGREZGRkhGSkZML0ZPUSYwLjBlbUYnL0ZSRmduLUklbXN1YkdGJDYlLUYsNiVRI0lCRidGVkZXLUYjNiUtSSNtbkdGJDYkUSIxRidGPkZWRlcvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJy1GOzYtUSIrRidGPkZARkJGREZGRkhGSkZML0ZPUSwwLjIyMjIyMjJlbUYnL0ZSRlxwLUYsNiVRInZGJ0ZWRldGWS1Gam42JUZcby1GIzYlLUZibzYkUSIyRidGPkZWRldGZW8vJStleGVjdXRhYmxlR0Y0Rj4=

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

A solu\303\247\303\243o mais geral da equa\303\247\303\243o 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 \303\251 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

No entanto, a cadeia n\303\243o pode ser avan\303\247ada para um vetor em LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2JlEiTUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUYjNiYtSSNtbkdGJDYlUSIzRidGNS9GOVEnbm9ybWFsRidGMkY1RjgvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJ0Y1RkE=porque U n\303\243o est\303\241 no espa\303\247o da coluna de C. Os par\303\242metros livres em U mostram que ele cont\303\251m componentes do espa\303\247o nulo de C. Mesmo se esses componentes n\303\243o estivessem l\303\241, U ainda n\303\243o estaria no espa\303\247o da coluna de C, como n\303\263s pode verificar mostrando que o componente de U ortogonal ao espa\303\247o da coluna de C \303\251 diferente de zero. A matriz de proje\303\247\303\243o \303\251 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

e o componente de U ortogonal a este espa\303\247o \303\251 LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYpLUkjbWlHRiQ2J1EiVUYnLyUlYm9sZEdRJXRydWVGJy8lJ2l0YWxpY0dRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJWJvbGRGJy8lK2ZvbnR3ZWlnaHRHRjctSSNtb0dGJDYtUSgmbWludXM7RicvRjZRJ25vcm1hbEYnLyUmZmVuY2VHRjQvJSpzZXBhcmF0b3JHRjQvJSlzdHJldGNoeUdGNC8lKnN5bW1ldHJpY0dGNC8lKGxhcmdlb3BHRjQvJS5tb3ZhYmxlbGltaXRzR0Y0LyUnYWNjZW50R0Y0LyUnbHNwYWNlR1EsMC4yMjIyMjIyZW1GJy8lJ3JzcGFjZUdGUC1GLDYlUSJQRicvRjNGMS9GNlEnaXRhbGljRictRjs2LVEiLkYnRj5GQEZCRkRGRkZIRkpGTC9GT1EmMC4wZW1GJy9GUkZnbkYrLyUrZXhlY3V0YWJsZUdGNEY+

LSZJJ1ZlY3Rvckc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkc2IjYjSSdjb2x1bW5HRig2Iy9JJCVpZEdGKCI1NSxcciMzVClvVz0=

Em geral, este n\303\243o \303\251 o vetor zero, mesmo que os par\303\242metros livres 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, iriam todos desaparecer. Outra maneira de ver que U n\303\243o est\303\241 no espa\303\247o da coluna de C \303\251 tentar resolver a equa\303\247\303\243o 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 para LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2KFEieUYnLyUlYm9sZEdRJXRydWVGJy8lJ2l0YWxpY0dRJmZhbHNlRicvJStleGVjdXRhYmxlR0Y0LyUsbWF0aHZhcmlhbnRHUSVib2xkRicvJStmb250d2VpZ2h0R0Y5RjUvRjhRJ25vcm1hbEYn. 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

Error, (in LinearAlgebra:-LA_Main:-LinearSolve) inconsistent system

O sistema \303\251 inconsistente precisamente porque U n\303\243o est\303\241 no espa\303\247o da coluna deLUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JlEiQ0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnRjIvRjZRJ25vcm1hbEYn. Uma solu\303\247\303\243o alternativa da equa\303\247\303\243o LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2JlEiQ0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUYsNihRInlGJy8lJWJvbGRHRjEvRjBGNEYyL0Y2USVib2xkRicvJStmb250d2VpZ2h0R0Y/LUkjbW9HRiQ2LlEiPUYnRjIvRjZRJ25vcm1hbEYnLyUmZmVuY2VHRjQvJSpzZXBhcmF0b3JHRjQvJSlzdHJldGNoeUdGNC8lKnN5bW1ldHJpY0dGNC8lKGxhcmdlb3BHRjQvJS5tb3ZhYmxlbGltaXRzR0Y0LyUnYWNjZW50R0Y0LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGWC1GLDYoUSJVRidGO0Y9RjJGPkZARjJGRg==\303\251 obtido com LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1cEdGJDYlLUkjbWlHRiQ2JlEiQ0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUYjNiYtSSNtb0dGJDYuUSIrRidGNS9GOVEnbm9ybWFsRicvJSZmZW5jZUdGNy8lKnNlcGFyYXRvckdGNy8lKXN0cmV0Y2h5R0Y3LyUqc3ltbWV0cmljR0Y3LyUobGFyZ2VvcEdGNy8lLm1vdmFibGVsaW1pdHNHRjcvJSdhY2NlbnRHRjcvJSdsc3BhY2VHUSwwLjIyMjIyMjJlbUYnLyUncnNwYWNlR0ZTRjJGNUY4LyUxc3VwZXJzY3JpcHRzaGlmdEdRIjBGJ0Y1RkE=, o pseudo-inverso de C, obtido em Maple como 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

Se C fosse invert\303\255vel, ter\303\255amos 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. Em vez disso, temos 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,a solu\303\247\303\243o de m\303\255nimos quadrados de comprimento m\303\255nimo. Na verdade, o vetor U \303\251 projetada no espa\303\247o da coluna de C, e a imagem inversa de comprimento m\303\255nimo \303\251 encontrada. Assim, o uso do pseudo-inverso nos permite ignorar os componentes de U que n\303\243o est\303\243o no espa\303\247o da coluna de C. A vers\303\243o Maple de 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 \303\251 LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYrLUkjbWlHRiQ2J1EjVXBGJy8lJWJvbGRHUSV0cnVlRicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSVib2xkRicvJStmb250d2VpZ2h0R0Y3LUkjbW9HRiQ2LVEifkYnL0Y2USdub3JtYWxGJy8lJmZlbmNlR0Y0LyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHRlAtRjs2LVEqJmNvbG9uZXE7RidGPkZARkJGREZGRkhGSkZML0ZPUSwwLjI3Nzc3NzhlbUYnL0ZSRldGOi1GLDYlUSNDcEYnL0YzRjEvRjZRJ2l0YWxpY0YnLUY7Ni1RIi5GJ0Y+RkBGQkZERkZGSEZKRkxGTkZRLUYsNidRIlVGJ0YvRjJGNUY4LyUrZXhlY3V0YWJsZUdGNEY+

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

Naquele 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 \303\251 em LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2JlEiTUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUYjNiYtSSNtbkdGJDYlUSIzRidGNS9GOVEnbm9ybWFsRidGMkY1RjgvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJ0Y1RkE= \303\251 verificado pelo desaparecimento de 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, como vemos de 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

LSZJJ1ZlY3Rvckc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkc2IjYjSSdjb2x1bW5HRig2Iy9JJCVpZEdGKCI1LVhbciMzVClvVz0=

Contudo, 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 n\303\243o \303\251 o fim de uma cadeia de comprimento 3 que come\303\247a com o vetor LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2KFEiR0YnLyUlYm9sZEdRJXRydWVGJy8lJ2l0YWxpY0dRJmZhbHNlRicvJStleGVjdXRhYmxlR0Y0LyUsbWF0aHZhcmlhbnRHUSVib2xkRicvJStmb250d2VpZ2h0R0Y5RjUvRjhRJ25vcm1hbEYn. A cadeia ainda precisa ser gerada de volta a partir de 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, como 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. A cadeia de comprimento 2 tamb\303\251m pode ser gerada com o pseudo-inverso a partir de G, calculando 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 como o fim da cadeia em LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2JlEiTUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUYjNiYtSSNtbkdGJDYlUSIyRidGNS9GOVEnbm9ybWFsRidGMkY1RjgvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJ0Y1RkE=, e recuando para o autovetor 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 em LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2JlEiTUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUYjNiYtSSNtbkdGJDYlUSIxRidGNS9GOVEnbm9ybWFsRidGMkY1RjgvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJ0Y1RkE=. Esses c\303\241lculos levam a uma matriz de transi\303\247\303\243o T constru\303\255da pelos mesmos dispositivos usados \342\200\213\342\200\213anteriormente. 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

NyQiIiMiIiQ=

Como tamb\303\251m mostramos anteriormente, a verifica\303\247\303\243o de que T \303\251 uma matriz de transi\303\247\303\243o que coloca A em sua forma Jordan consiste no desaparecimento da matriz LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2JlEjQVRGJy8lJ2l0YWxpY0dRJXRydWVGJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi5RKCZtaW51cztGJ0YyL0Y2USdub3JtYWxGJy8lJmZlbmNlR0Y0LyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRk4tRiw2JlEjVEpGJ0YvRjJGNUYyRjw=. 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

LUknTWF0cml4RzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiNiMvSSQlaWRHRiciNVUyayJIM1Qpb1c9

JSFH

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic= Finalmente, abordamos a quest\303\243o de gerar uma matriz A com uma forma Jordan conhecida. Isso \303\251 feito definindo a matriz como 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, onde LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JlEiSkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnRjIvRjZRJ25vcm1hbEYn \303\251 a forma fornecida de Jordan, e LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JlEiUEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnRjIvRjZRJ25vcm1hbEYn \303\251 uma matriz de transi\303\247\303\243o cujas colunas ser\303\243o autovetores e autovetores generalizados. A matriz Jordan J \303\251 constru\303\255da em Maple com o comando JordanBlockMatrix, cujo uso para gerar a matriz Jordan na Tabela 1 \303\251 ilustrado abaixo. LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic= 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

LUknTWF0cml4RzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiNiMvSSQlaWRHRiciNW00ZiVIM1Qpb1c9

O tamanho de um sub-bloco e seu autovalor associado s\303\243o fornecidos por uma lista, e uma lista de tais listas determina a matriz completa. A matriz de transi\303\247\303\243o P pode ser qualquer matriz conform\303\241vel n\303\243o singular. No entanto, se o determinante de P n\303\243o for LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbW9HRiQ2LlElJnBtO0YnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHRjEvJSpzZXBhcmF0b3JHRjEvJSlzdHJldGNoeUdGMS8lKnN5bW1ldHJpY0dGMS8lKGxhcmdlb3BHRjEvJS5tb3ZhYmxlbGltaXRzR0YxLyUnYWNjZW50R0YxLyUnbHNwYWNlR1EsMC4yMjIyMjIyZW1GJy8lJ3JzcGFjZUdGRS1JI21uR0YkNiVRIjFGJ0YvRjJGL0Yy, a matriz 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 provavelmente conter\303\241 fra\303\247\303\265es, tornando os c\303\241lculos mais tediosos. Portanto, selecionamos P a partir de matrizes geradas aleatoriamente com determinante LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbW9HRiQ2LlElJnBtO0YnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHRjEvJSpzZXBhcmF0b3JHRjEvJSlzdHJldGNoeUdGMS8lKnN5bW1ldHJpY0dGMS8lKGxhcmdlb3BHRjEvJS5tb3ZhYmxlbGltaXRzR0YxLyUnYWNjZW50R0YxLyUnbHNwYWNlR1EsMC4yMjIyMjIyZW1GJy8lJ3JzcGFjZUdGRS1JI21uR0YkNiVRIjFGJ0YvRjJGL0Yy e entradas inteiras LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYrLUkjbW9HRiQ2LlEqJnVtaW51czA7RicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRicvJSZmZW5jZUdGMS8lKnNlcGFyYXRvckdGMS8lKXN0cmV0Y2h5R0YxLyUqc3ltbWV0cmljR0YxLyUobGFyZ2VvcEdGMS8lLm1vdmFibGVsaW1pdHNHRjEvJSdhY2NlbnRHRjEvJSdsc3BhY2VHUSwwLjIyMjIyMjJlbUYnLyUncnNwYWNlR0ZFLUkjbW5HRiQ2JVEiMUYnRi9GMi1GLDYuUSIsRidGL0YyRjUvRjhRJXRydWVGJ0Y5RjtGPUY/RkEvRkRRJjAuMGVtRicvRkdRLDAuMzMzMzMzM2VtRictRkk2JVEiMEYnRi9GMkZMRkhGTEYvRjI=ou 2. Isso \303\251 feito com um c\303\263digo como o seguinte. LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic= 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

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbW5HRiQ2JFEiMUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy1JI21vR0YkNi1RIixGJ0YvLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR1EldHJ1ZUYnLyUpc3RyZXRjaHlHRjgvJSpzeW1tZXRyaWNHRjgvJShsYXJnZW9wR0Y4LyUubW92YWJsZWxpbWl0c0dGOC8lJ2FjY2VudEdGOC8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHUSwwLjMzMzMzMzNlbUYnLUkobWFjdGlvbkdGJDYlLUkobWZlbmNlZEdGJDYoLUYjNiYtSSdtdGFibGVHRiQ2Oy1JJG10ckdGJDYsLUkkbXRkR0YkNihGKy8lKXJvd2FsaWduR1EhRicvJSxjb2x1bW5hbGlnbkdGaW4vJStncm91cGFsaWduR0Zpbi8lKHJvd3NwYW5HRi4vJStjb2x1bW5zcGFuR0YuLUZlbjYoLUYsNiRRIjJGJ0YvRmduRmpuRlxvRl5vRmBvRmJvLUZlbjYoLUYsNiRRIjBGJ0YvRmduRmpuRlxvRl5vRmBvLUZlbjYoLUYjNiUtRjM2LVEqJnVtaW51czA7RidGL0Y2L0Y6RjhGPEY+RkBGQkZEL0ZHUSwwLjIyMjIyMjJlbUYnL0ZKRmVwRitGL0ZnbkZqbkZcb0Zeb0Zgb0ZaRmdvRmduRmpuRlxvLUZYNixGXHBGWkZib0ZccEZnb0Zib0ZaRmduRmpuRlxvLUZYNixGWkZib0Znb0ZccEZccEZib0ZaRmduRmpuRlxvLUZYNixGWkZaRlxwRmdvRlpGZ29GXHBGZ25Gam5GXG8tRlg2LEZnb0ZaRlxwRlxwRlpGWkZaRmduRmpuRlxvLUZYNixGXHBGXHBGZ29GXHBGXHBGYm9GYm9GZ25Gam5GXG8tRlg2LEZib0Zib0ZccEZnb0Znb0Znb0ZaRmduRmpuRlxvLyUmYWxpZ25HUSVheGlzRicvRmhuUSliYXNlbGluZUYnL0Zbb1EmcmlnaHRGJy9GXW9RJ3xmcmxlZnR8aHJGJy8lL2FsaWdubWVudHNjb3BlR0Y7LyUsY29sdW1ud2lkdGhHUSVhdXRvRicvJSZ3aWR0aEdGYHIvJStyb3dzcGFjaW5nR1EmMS4wZXhGJy8lLmNvbHVtbnNwYWNpbmdHUSYwLjhlbUYnLyUpcm93bGluZXNHUSVub25lRicvJSxjb2x1bW5saW5lc0dGW3MvJSZmcmFtZUdGW3MvJS1mcmFtZXNwYWNpbmdHUSwwLjRlbX4wLjVleEYnLyUqZXF1YWxyb3dzR0Y4LyUtZXF1YWxjb2x1bW5zR0Y4LyUtZGlzcGxheXN0eWxlR0Y4LyUlc2lkZUdGaXEvJTBtaW5sYWJlbHNwYWNpbmdHRmhyLyUrZm9yZWdyb3VuZEdRKFswLDAsMF1GJy8lKXJlYWRvbmx5R0Y4Ri9GLy9JK21zZW1hbnRpY3NHRiRRJ01hdHJpeEYnLyUlb3BlbkdRIltGJy8lJmNsb3NlR1EiXUYnRmJ0LyUrYWN0aW9udHlwZUdRLnJ0YWJsZWFkZHJlc3NGJy8lKXJ0YWJsZWlkR1E1MTg0NDY4ODQxMDgyOTE2NDA4OTRGJ0ZddEZgdEYv

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

Uma matriz P adequada \303\251 recuperada do \303\255ndice impresso na frente da matriz. Por exemplo, se a \303\272ltima matriz for escolhida para P, ela pode ser extra\303\255da via LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2JVEiUEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RKiZjb2xvbmVxO0YnL0YzUSdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGPS8lKXN0cmV0Y2h5R0Y9LyUqc3ltbWV0cmljR0Y9LyUobGFyZ2VvcEdGPS8lLm1vdmFibGVsaW1pdHNHRj0vJSdhY2NlbnRHRj0vJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZMLUYsNiVRI3EzRidGL0YyLyUrZXhlY3V0YWJsZUdGPUY5

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

Tudo o que restaria \303\251 a constru\303\247\303\243o de 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. A base que coloca A em sua forma Jordan n\303\243o \303\251 \303\272nica. Portanto, a matriz de transi\303\247\303\243o P n\303\243o \303\251 \303\272nica. A Tabela 1 mostra a matriz P que foi usada para construir A para esta explora\303\247\303\243o. As matrizes de transi\303\247\303\243o que geramos com as v\303\241rias bases que constru\303\255mos n\303\243o eram necessariamente as mesmas que esta P.

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RzYiNiJbZ2whIiUhISEjUiIoIigiIiFGJ0YnRidGJ0YnRidGJ0YnRidGJ0YnRidGJ0YnRidGJ0YnRidGJ0YnRidGJ0YnRidGJ0YnRidGJ0YnRidGJ0YnRidGJ0YnRidGJ0YnRidGJ0YnRidGJ0YnRidGJ0YnRidGJQ==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TTdSMApJQVJUQUJMRV9TQVZFLzE4NDQ2ODg0MTA4MjkxNjQwMTM0WCwlKWFueXRoaW5nRzYiNiJbZ2whIiUhISEjUiIoIigiIiEiIiIiIiNGKSEiIkYpRipGKkYoIyIiJkYpIyIiJEYpRipGKiMhIiRGKUYqRipGJ0YpRipGKUYoRidGKUYoRipGKkYnRidGJyIjNiIiKEYoRidGJyEjPUYoRixGLkYnRidGKCEiKEYoISImRipGKEYoRiciIzVGJQ==TTdSMApJQVJUQUJMRV9TQVZFLzE4NDQ2ODg0MTA4MjkxNjQwMjg2WCwlKWFueXRoaW5nRzYiNiJbZ2whIiUhISEjUiIoIigiIiMiIiFGKEYoRihGKEYoIiIiRidGKEYoRihGKEYoRihGKEYnRihGKEYoRihGKEYoRilGJ0YoRihGKEYoRihGKEYpRidGKEYoRihGKEYoRihGKEYnRihGKEYoRihGKEYoRihGJ0YlTTdSMApJQVJUQUJMRV9TQVZFLzE4NDQ2ODg0MTA4MjcxNTEwNTkwWColKWFueXRoaW5nRzYiNiJbZ2whIyUhISEiKCIoIiIiIiIhRigjISIjIiIkIyIiJUYrIyEiJUYrRi5GJQ==TTdSMApJQVJUQUJMRV9TQVZFLzE4NDQ2ODg0MTA4MjcxNTEyMzU4WColKWFueXRoaW5nRzYiNiJbZ2whIyUhISEiKCIoIiIhIiIiRicjISIlIiIkIyEiIkYrIyEiI0YrI0YoRitGJQ==TTdSMApJQVJUQUJMRV9TQVZFLzE4NDQ2ODg0MTA4MjcxNTEzMTc0WColKWFueXRoaW5nRzYiNiJbZ2whIyUhISEiKCIoIiIhRiciIiIjIiImIiIkIyEiIkYrIyIiJUYrIyEiI0YrRiU=TTdSMApJQVJUQUJMRV9TQVZFLzE4NDQ2ODg0MTA4MjcxNTA1Njc4WColKWFueXRoaW5nRzYiNiJbZ2whIyUhISEiKCIoIiIiRiciIiEhIiNGJ0YpISIiRiU=TTdSMApJQVJUQUJMRV9TQVZFLzE4NDQ2ODg0MTA4MjcxNTA2OTAyWColKWFueXRoaW5nRzYiNiJbZ2whIyUhISEiKCIoIyEiIiIiIyIiISIiIkYpRihGKUYqRiU=TTdSMApJQVJUQUJMRV9TQVZFLzE4NDQ2ODg0MTA4MjcxNTA4MTI2WColKWFueXRoaW5nRzYiNiJbZ2whIyUhISEiKCIoLCYlInVHIiIiJSJ2RyMhIiIiIiNGKEYqLCZGKCEiI0YqRi0sJkYoRilGKkYsRi4sJEYoRixGJQ==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TTdSMApJQVJUQUJMRV9TQVZFLzE4NDQ2ODg0MTA4MjkxNjQwNzQyWCwlKWFueXRoaW5nRzYiNiJbZ2whIiUhISEjUiIoIigiIiFGJ0YnRidGJ0YnRidGJ0YnRidGJ0YnRidGJ0YnRidGJ0YnRidGJ0YnRidGJ0YnRidGJ0YnRidGJ0YnRidGJ0YnRidGJ0YnRidGJ0YnRidGJ0YnRidGJ0YnRidGJ0YnRidGJQ==TTdSMApJQVJUQUJMRV9TQVZFLzE4NDQ2ODg0MTA4Mjk0NTkwOTY2WC4lKWFueXRoaW5nRzYjJiUlYmFuZEc2JCIiISIiIjYiW2dsISIkISEhIy8iKCIoISJGKSIiI0YqRixGKUYsRipGLEYqRixGKUYsRilGLDYiTTdSMApJQVJUQUJMRV9TQVZFLzE4NDQ2ODg0MTA4MjkxNjQwODk0WCwlKWFueXRoaW5nRzYiNiJbZ2whIiUhISEjUiIoIigiIiIhIiJGJ0YnIiIhRigiIiNGKkYnRipGJ0YnRihGKkYqRipGKUYoRihGKUYoRilGKEYoRilGKEYoRilGKEYpRihGJ0YnRihGKUYnRipGKkYpRidGKkYpRilGJ0YnRihGJ0YqRidGJQ==TTdSMApJQVJUQUJMRV9TQVZFLzE4NDQ2ODg0MTA4MjkxNjQxMDQ2WCwlKWFueXRoaW5nRzYiNiJbZ2whIiUhISEjUiIoIigiIiNGJyIiIkYoIiIhRichIiJGKEYnRidGKkYoRipGKUYoRidGKUYqRipGKUYnRilGKUYpRihGKUYpRipGKkYpRilGJ0YqRipGKUYpRipGKEYqRihGJ0YoRidGJ0YpRipGKkYoRihGJQ==TTdSMApJQVJUQUJMRV9TQVZFLzE4NDQ2ODg0MTA4MjkxNjMzMTUwWCwlKWFueXRoaW5nRzYiNiJbZ2whIiUhISEjUiIoIighIiIiIiNGKCIiIUYoIiIiRihGKkYoRihGKkYqRipGKEYpRidGKEYqRidGJ0YpRilGJ0YnRidGKkYpRipGKEYqRidGKkYpRipGKUYoRidGKkYoRidGKUYpRihGKEYnRihGKEYnRihGJQ==