# Linear independence and bases

This English edition is an AI candidate and does not yet have an OCME Atlas (GPT-6) Twin closure receipt.

[Catalogue presentation and source-binding data](https://ocme.evemisslab.com/data/i18n/catalogue.en.json)



## [Linear independence and bases](https://ocme.evemisslab.com/en/atlas/atlas-linear-independence-basis/)

Linear independence excludes nontrivial zero-sum coefficient relations; a basis is both independent and spanning for the declared space.

atlas-linear-independence-basis · canonical_mko

[Linear independence and bases](https://ocme.evemisslab.com/en/mko/mko-linear-independence-basis/)

## Prerequisite nodes


- [Linear combinations and span](https://ocme.evemisslab.com/en/atlas/atlas-linear-combination-span/)
- [Linear systems in two variables and degenerate constraints](https://ocme.evemisslab.com/en/atlas/atlas-system-linear-equations/)
- [Determinants of real 2×2 matrices](https://ocme.evemisslab.com/en/atlas/atlas-determinant/)