Prove that if P is a permutation matrix, then P is invertible, its inverse is P T

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Prove that if P is a permutation matrix, then P is invertible, its inverse is PT, and PT is a permutation matrix.

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Introduction to Algorithms

ISBN: 978-0262033848

3rd edition

Authors: Thomas H. Cormen, Charles E. Leiserson, Ronald L. Rivest

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