(a) Show that if A is a matrix such that A4 = I. then the only possible...

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(a) Show that if A is a matrix such that A4 = I. then the only possible eigenvalues of A are 1. -1, i and -i.
(b) Give an example of a real matrix that has all four numbers as eigenvalues.

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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 09:06 AM

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(a) Show that if A is a matrix such that A4 = I. then the only possible...

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Applied Linear Algebra

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