---
tag: 0W02QESPJQ
kind: concept
name: Orthogonal matrix
msc: [15B10]
sources:
  - url: https://en.wikipedia.org/wiki/Orthogonal_matrix
    locator: lead section
same_as:
  wikidata: Q333871
  wikipedia: Orthogonal matrix
---

## Summary

An orthogonal matrix is a real square matrix whose transpose is its inverse, so that its columns form an orthonormal basis.