New posts in Permutation Matrices

Invariant subspaces to the permuting action of the alternating group.

Prove that every permutation matrix satisfies its characteristic polynomial.

Two permutation matrices represent conjugate permutations iff they have same characteristic polynomial.

An $n\times n$ matrix that has exactly one $1$ and one $-1$ in each row and column and others are $0$

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

What are the properties of eigenvalues of permutation matrices?

Properties of a permutation matrix

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

Problem involving permutation matrices from Michael Artin's book.

The transpose of a permutation matrix is its inverse.