# Linear map between real vector spaces

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 map between real vector spaces](https://ocme.evemisslab.com/en/atlas/atlas-general-linear-map/)

A map between real vector spaces is linear when it preserves linear combinations for all vectors and real scalars.

atlas-general-linear-map · canonical_mko

[Linear map between real vector spaces](https://ocme.evemisslab.com/en/mko/mko-general-linear-map/)

## Prerequisite nodes


- [Real vector space](https://ocme.evemisslab.com/en/atlas/atlas-real-vector-space/)
- [Function mapping](https://ocme.evemisslab.com/en/atlas/atlas-function-mapping/)
- [Linear combinations and span](https://ocme.evemisslab.com/en/atlas/atlas-linear-combination-span/)