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*This matrix has exactly one entry 1 in each row and each column and 0's elsewhere.
*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 -.
*A permutation matrix is nonsingular, and its determiant + or -.
*Also permutation matrix A having the following properties <math>AA^(T)=I</math>, where <math>A^(T)</math> is a transpose and I is the identity matrix.
*Also permutation matrix A having the following properties <math>AA^T=I</math>, where <math>A^T</math> is a transpose and I is the identity matrix.
*Permutation matrices are orthogonal (hence, their inverse is their transpose: <math>P^{-1} = P^T</math>).
*Permutation matrices are orthogonal (hence, their inverse is their transpose: <math>P^{-1} = P^T</math>).
*A permutation matrix allows to exchange rows or columns of another via the matrix-matrix product.
*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.
*In calci MATRIX("permutation",4) gives the permutation matrix of order 4.