Two matrices A and B are said to be similar, written A ~ B, if there exists

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Two matrices A and B are said to be similar, written A ~ B, if there exists an invertible matrix S such that B = S-1 AS. Prove:
(a) A ~ A
(b) If A ~ B, then B ~ A.
(c) If A ~ B ~ C, then A~ C.

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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 08:23 AM

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Two matrices A and B are said to be similar, written A ~ B, if there exists

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Applied Linear Algebra

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