Rank (linear algebra)
id:
rank-linear-algebra-212-922697
title:
Rank (linear algebra)
text:
In linear algebra, the rank of a matrix A is the dimension of the vector space generated by its columns. This corresponds to the maximal number of linearly independent columns of A. This, in turn, is identical to the dimension of the vector space spanned by its rows. Rank is thus a measure of the "nondegenerateness" of the system of linear equations and linear transformation encoded by A. There are multiple equivalent definitions of rank. A matrix's rank is one of its most fundamental characteri
brand slug:
wiki
category slug:
encyclopedia
description:
Dimension of the column space of a matrix
original url:
https://en.wikipedia.org/wiki/Rank_(linear_algebra)
date created:
2002-01-18T18:27:27Z
date modified:
2024-09-12T03:17:49Z
main entity:
{"identifier":"Q656784","url":"https://www.wikidata.org/entity/Q656784"}
image:
fields total:
13
integrity:
15