permutationmatrixinverse

2016年3月30日—InverseofapermutationmatrixP:TheinverseofapermutationmatrixPisthetransposeofPitself.Inotherwords,P^(-1)=P^T.,2020年9月14日—Thekeypointisthatanypermutationmatrixcanbeobtainedasaproductofelementarypermutationmatriceseachofonebyleft ...,2019年5月16日—Alsotheinversesarethetransposes:P-1=PTorPTP=I(PtransposexP=Identitymatrix).Thefirstonechangesrow1and2,the2nd ...,2017年1月10日—permuta...

參考資訊如下
How do you find the inverse of a permutation matrix?

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.

Intuitive explanation for inverse of a permutation matrix

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 ...

Inverses and Transpose and permutations

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 ...

Linear Algebra筆記6

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 ...

Permutation matrices

Permutation matrix

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, $ ...

The transpose of a permutation matrix is its inverse.

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 ...

What is a simple way to show that for any 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 ...