The transpose of a permutation matrix is its inverse.

2016年3月30日 — Inverse of a permutation matrix P: The inverse of a permutation matrix P is the transpose of P itself. In other words, P^(-1) = P^T.

2020年9月14日 — The key point is that any permutation matrix can be obtained as a product of elementary permutation matrices each of one by left ...

2019年5月16日 — Also the inverses are the transposes : P-1 = P T or P T P = I (P transpose x P = Identity matrix). The first one changes row 1 and 2, the 2nd ...

2017年1月10日 — permutation matrix的定義就是只對“在右被乘者”做row reorder，不做summation / scaling，所以換句話其組成就是Identity Matrix的row reordering。 一個 ...

A permutation matrix is an orthogonal matrix, that is, its transpose is equal to its inverse. Proposition Let $P$ be a $K imes K$ permutation matrix. Then, $ ...

2012年1月12日 — Let's P be an arbitrary permutation matrix. Some matrix is unitary iff their columns form a orthonormal base. Since the columns of a permutation ...

2019年10月5日 — The inverse of a permutation matrix is its transpose. If a permutation moves an element at x to y, then the inverse permutation must move y to x ...