Steinitz exchange lemma
id:
steinitz-exchange-lemma-298-14111172
title:
Steinitz exchange lemma
text:
The Steinitz exchange lemma is a basic theorem in linear algebra used, for example, to show that any two bases for a finite-dimensional vector space have the same number of elements. The result is named after the German mathematician Ernst Steinitz. The result is often called the Steinitz–Mac Lane exchange lemma, also recognizing the generalization
by Saunders Mac Lane
of Steinitz's lemma to matroids.
brand slug:
wiki
category slug:
encyclopedia
description:
Extension of independent vectors to bases
original url:
https://en.wikipedia.org/wiki/Steinitz_exchange_lemma
date created:
date modified:
2024-03-07T10:34:10Z
main entity:
{"identifier":"Q2338929","url":"https://www.wikidata.org/entity/Q2338929"}
image:
fields total:
13
integrity:
14