# Kernel of a linear map

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)



## [Kernel of a linear map](https://ocme.evemisslab.com/en/atlas/atlas-linear-map-kernel/)

The kernel of T consists of all source vectors x satisfying T(x)=0 and forms a subspace of the source.

atlas-linear-map-kernel · canonical_mko

[Kernel of a linear map](https://ocme.evemisslab.com/en/mko/mko-linear-map-kernel/)

## Prerequisite nodes


- [Linear map between real vector spaces](https://ocme.evemisslab.com/en/atlas/atlas-general-linear-map/)
- [Real vector subspace](https://ocme.evemisslab.com/en/atlas/atlas-vector-subspace/)
- [Equation](https://ocme.evemisslab.com/en/atlas/atlas-equation/)