Let A be a square matrix and P a permutation matrix of the same size. (a) Explain

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Let A be a square matrix and P a permutation matrix of the same size.
(a) Explain why the product APT has the effect of applying the permutation defined by P to the columns of A.
(b) Explain the effect of multiplying PAPT.

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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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Let A be a square matrix and P a permutation matrix of the same size. (a) Explain

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a Note that AP T T P A T which permutes the rows of AT which are the colu...View the full answer

Applied Linear Algebra

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