(a) Give an example of a matrix A such that A2 has an eigenvector that is not...

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(a) Give an example of a matrix A such that A2 has an eigenvector that is not an eigenvector of A.
(b) Show that, in general, every eigenvalue of A2 is the square of an eigenvalue of A.

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Applied Linear Algebra

ISBN: 978-0131473829

1st edition

Authors: Peter J. Olver, Cheri Shakiban

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Question Posted: Jun 17, 2016 09:14 AM

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(a) Give an example of a matrix A such that A2 has an eigenvector that is not...

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a Let Then e 2 is an eigenvector of A 2 O but is not an eigenvector of A b Suppose A S J S 1 ...View the full answer

Applied Linear Algebra

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