---
tag: 01TXN7ETH2
kind: concept
name: Orthogonal family for a bilinear form
msc: [15A63]
sources:
  - url: https://en.wikipedia.org/wiki/Bilinear_form
    locator: Reflexive bilinear forms and orthogonal vectors
---

## Summary

A family of vectors is orthogonal for a bilinear form when the form is zero on each pair of distinct members of the family.