This function returns the matrix Permutation matrix of order 3.
A permutation matrix is a square binary matrix obtained by permuting the rows of an nxn identity matrix according to some permutation of the numbers 1 to n.
This matrix has exactly one entry 1 in each row and each column and 0's elsewhere.
A permutation matrix is nonsingular, and its determiant + or -.
Also permutation matrix A having the following properties , where is a transpose and I is the identity matrix.
Permutation matrices are orthogonal .Hence, their inverse is their transpose: .
A permutation matrix allows to exchange rows or columns of another via the matrix-matrix product.
In calci MATRIX("permutation",4) gives the permutation matrix of order 4.