# Steinitz exchange 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**: [Q2338929](https://www.wikidata.org/wiki/Q2338929)  
**Wikipedia**: [English](https://en.wikipedia.org/wiki/Steinitz_exchange_lemma)  
**Source**: https://4ort.xyz/entity/steinitz-exchange-lemma


## References

1. Freebase Data Dumps. 2013