Matrix similarity
id:
matrix-similarity-275-6155426
title:
Matrix similarity
text:
In linear algebra, two n-by-n matrices A and B are called similar if there exists an invertible n-by-n matrix P such that Similar matrices represent the same linear map under two (possibly) different bases, with P being the change of basis matrix. A transformation A ↦ P−1AP is called a similarity transformation or conjugation of the matrix A. In the general linear group, similarity is therefore the same as conjugacy, and similar matrices are also called conjugate; however, in a given subgroup H
brand slug:
wiki
category slug:
encyclopedia
description:
Equivalence under a change of basis (linear algebra)
original url:
https://en.wikipedia.org/wiki/Matrix_similarity
date created:
date modified:
2024-04-10T22:27:30Z
main entity:
{"identifier":"Q254491","url":"https://www.wikidata.org/entity/Q254491"}
image:
fields total:
13
integrity:
14