New posts in permutation-matrices

Determinant of elementary permutation matrix

What's the algorithm of finding the convex combination of permutation matrices for a doubly stochastic matrix?

LU decomposition; do permutation matrices commute?

How do you determine the characteristic polynomial of a permutation matrix based on the cycle type of the corresponding permutation??

Span of permutation matrices

If permutation matrices are conjugate in $\operatorname{GL}(n,\mathbb{F})$ are the corresponding permutations conjugate in the symmetric group?

What are the properties of eigenvalues of permutation matrices?

Row swap changing sign of determinant

Can you completely permute the elements of a matrix by applying permutation matrices?

The transpose of a permutation matrix is its inverse.

Amidakuji Puzzle and math behind it