Let P be the 3 3 permutation matrix such that the product PA permutes the first

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Let P be the 3 × 3 permutation matrix such that the product PA permutes the first and third rows of the 3 × 3 matrix A.
(a) Write down P.
(b) True or false: The product AP is obtained by permuting the first and third columns of A.
(c) Does the same conclusion hold for any permutation matrix: the effect of PA on the rows of a square matrix A is the same as the effect of AP on the columns of A?
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Applied Linear Algebra

ISBN: 978-0131473829

1st edition

Authors: Peter J. Olver, Cheri Shakiban

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