Question: Let P be the 3 3 permutation matrix such that the product PA permutes the first and third rows of the 3 3

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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