(a) Explain why the inverse of a permutation matrix equals its transpose: P-1 = PT. (b) If...

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(a) Explain why the inverse of a permutation matrix equals its transpose: P-1 = PT.
(b) If A-1 = AT, is A 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 08:25 AM

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(a) Explain why the inverse of a permutation matrix equals its transpose: P-1 = PT. (b) If...

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a If p ij 1 then P A maps the j th row of A to its i th row ...View the full answer

Applied Linear Algebra

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