Permutation matrix
id:
permutation-matrix-161-10324821
title:
Permutation matrix
text:
In mathematics, particularly in matrix theory, a permutation matrix is a square binary matrix that has exactly one entry of 1 in each row and each column with all other entries 0. An n × n permutation matrix can represent a permutation of n elements. Pre-multiplying an n-row matrix M by a permutation matrix P, forming PM, results in permuting the rows of M, while post-multiplying an n-column matrix M, forming MP, permutes the columns of M. Every permutation matrix P is orthogonal, with its inver
brand slug:
wiki
category slug:
encyclopedia
description:
Matrix with exactly one 1 per row and column
original url:
https://en.wikipedia.org/wiki/Permutation_matrix
date created:
2003-06-02T08:56:11Z
date modified:
2024-08-27T07:31:11Z
main entity:
{"identifier":"Q851512","url":"https://www.wikidata.org/entity/Q851512"}
image:
fields total:
13
integrity:
15