---
tag: 0DTY8B9HMS
kind: concept
name: Linear span
msc: [15A03]
sources:
  - url: https://en.wikipedia.org/wiki/Linear_span
    locator: Definition
same_as:
  wikidata: Q209812
  wikipedia: Linear span
---

## Summary

The linear span of a set of vectors is the set of all linear combinations of the vectors.
It is the smallest subspace that contains the set.