Matrix equivalence
id:
matrix-equivalence-169-12390533
title:
Matrix equivalence
text:
In linear algebra, two rectangular m-by-n matrices A and B are called equivalent if
- B = Q − 1 A P for some invertible n-by-n matrix P and some invertible m-by-m matrix Q. Equivalent matrices represent the same linear transformation V → W under two different choices of a pair of bases of V and W, with P and Q being the change of basis matrices in V and W respectively. The notion of equivalence should not be confused with that of similarity, which is only defined for square matrices, and is mu
brand slug:
wiki
category slug:
encyclopedia
description:
original url:
https://en.wikipedia.org/wiki/Matrix_equivalence
date created:
2006-11-08T14:52:21Z
date modified:
2024-08-31T14:50:50Z
main entity:
{"identifier":"Q256151","url":"https://www.wikidata.org/entity/Q256151"}
image:
fields total:
13
integrity:
14