A square matrix is called a permutation matrix if it contains a 1 exactly once in each

Chapter 2, Problem 42

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A square matrix is called a permutation matrix if it contains a 1 exactly once in each row and in each column, with all other entries being 0. Examples are / and0 0 1 1 0 0 0 1 0Are permutation matrices invertible? If so, is the inverse a permutation matrix as well?

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