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Steinitz exchange lemma

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Also known as exchange lemma, Steinitz–Mac Lane exchange lemma, Steinitz’s lemma

in linear algebra, the theorem that, for any set smaller than a spanning set, there is a set of vectors in the spanning set but missing from the smaller set that can be added to the smaller set to make that set spanning as well

Wikidata facts

Instance of
theorem
Named after
Ernst Steinitz
Show 2 more facts
studied by
linear algebra
maintained by WikiProject
WikiProject Mathematics
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