---
tag: 0SQZMXB6GP
kind: concept
name: Bilinear form
msc: [15A63]
sources:
  - url: https://en.wikipedia.org/wiki/Bilinear_form
    locator: lead section
same_as:
  wikidata: Q837924
  wikipedia: Bilinear form
---

## Summary

A bilinear form on a vector space is a map of two vectors to the scalars.
It is linear in each vector when the other vector is fixed.