Unformatted text preview: 6 = 0 is an eigenvalue of A . Let ~ z = ~x + i~ y be an eigenvector of A corresponding to Î» . Prove that ~x 6 = ~ 0, ~ y 6 = ~ 0 and that ~x 6 = k~ y . 5. Suppose that A is an n Ã— n matrix with real entries, and that Î» = a + bi , b 6 = 0 is an eigenvalue of A . Let ~ z = ~x + i~ y be an eigenvector of A corresponding to Î» . Prove that Span { ~x,~ y } contains no real eigenvector of A . 1...
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 Spring '10
 WILKIE
 Math, Linear Algebra, eigenvector, A. Let, real entries, real canonical form, real eigenvector

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