# Real bilinear form

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)



## [Real bilinear form](https://ocme.evemisslab.com/en/atlas/atlas-real-bilinear-form/)

A bilinear form on a real vector space preserves addition and real scalar multiplication separately in each input.

atlas-real-bilinear-form · canonical_mko

[Real bilinear form](https://ocme.evemisslab.com/en/mko/mko-real-bilinear-form/)

## Prerequisite nodes


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