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

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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