---
tag: 0KRVRV5V80
kind: concept
name: Symmetric bilinear form associated with a quadratic form
msc: [15A63, "11E04"]
sources:
  - url: https://en.wikipedia.org/wiki/Quadratic_form
    locator: Definitions
---

## Summary

Let $Q$ be a quadratic form over a field of characteristic not two.
The symmetric bilinear form associated with $Q$ is the unique symmetric bilinear form $B$ with $B(v, v) = Q(v)$.