True or false: (a) Every elementary permutation matrix satisfies p2 = 1. (b) Every permutation matrix satisfies

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True or false:
(a) Every elementary permutation matrix satisfies p2 = 1.
(b) Every permutation matrix satisfies P2 = 1.
(c) A matrix that satisfies P2 = 1 is necessarily a permutation matrix.

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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 08:22 AM

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True or false: (a) Every elementary permutation matrix satisfies p2 = 1. (b) Every permutation matrix satisfies

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a True since interchanging the same pair of rows twice ...View the full answer

Applied Linear Algebra

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