PermutationMatrix Class

public class PermutationMatrix : AnySquareMatrix

Public Class PermutationMatrix
	Inherits AnySquareMatrix

public ref class PermutationMatrix : public AnySquareMatrix

type PermutationMatrix = 
    class
        inherit AnySquareMatrix
    end

Inheritance

Object    AnyMatrixDouble    AnyRectangularMatrix    AnySquareMatrix    PermutationMatrix

A d-dimensional permutation matrix is a d-dimensional representation of a permutation among d objects. When it right-multiplies a column vector, it permutes the entries of the vector. When it right-multiples a matrix, it permutes the columns of the matrix. When two permutation matrices are multiplied, the product is the permutation matrix corresponding to the right-to-left sequential application of the permutations they represent.

The entries of a permutation matrix are all either 0 or 1, and there is exactly one 1 in every row and column.

Reference