# Matrix-represented linear maps on the real plane

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)



## [Matrix-represented linear maps on the real plane](https://ocme.evemisslab.com/en/atlas/atlas-linear-transformation/)

Use the explicit R²→R² matrix model for additivity and scalar compatibility; an affine expression with nonzero translation is not linear.

atlas-linear-transformation · canonical_mko

[Matrix-represented linear maps on the real plane](https://ocme.evemisslab.com/en/mko/mko-linear-transformation/)

## Prerequisite nodes


- [Finite matrices: dimensions, indexing, and transpose](https://ocme.evemisslab.com/en/atlas/atlas-matrix/)
- [Plane vectors in a fixed basis](https://ocme.evemisslab.com/en/atlas/atlas-vector/)
- [Function mapping](https://ocme.evemisslab.com/en/atlas/atlas-function-mapping/)