An n×n matrix with a single 1 in each row and each column and 0s everywhere else which can be used to represent a permutation of the n objects in a set. For example, to map 1, 2, 3 to 1, 3, 2 the matrix (100001010) would be used because
A square matrix in which the rows are a permutation of the rows of an identity matrix.
A square matrix in which each column contains precisely one nonzero element, which is equal to unity. If P is an n′n permutation matrix and x is a vector of n elements, the vector Px will be a permutation of the elements of x.
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