---
tag: 0CRMGPAH83
kind: concept
name: Linear independence
msc: [15A03]
sources:
  - url: https://en.wikipedia.org/wiki/Linear_independence
    locator: Definition
same_as:
  wikidata: Q27670
  wikipedia: Linear independence
---

## Summary

Vectors are linearly independent when no nontrivial linear combination of them is zero.
Equivalently, no vector of the family is a linear combination of the others.