Prove that two complete matrices A. B have the same eigenvalues (with multiplicities) if and only if

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Prove that two complete matrices A. B have the same eigenvalues (with multiplicities) if and only if they are similar, i.e., B = S-1 AS for some nonsingular matrix S.
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Applied Linear Algebra

ISBN: 978-0131473829

1st edition

Authors: Peter J. Olver, Cheri Shakiban

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