---
tag: 0WF5AQYTW6
kind: concept
name: Reduced row echelon form
aliases: [rref]
msc: [15A06]
sources:
  - url: https://en.wikipedia.org/wiki/Row_echelon_form
    locator: Reduced row echelon form
---

## Summary

A matrix is in reduced row echelon form when it is in row echelon form and each leading entry is $1$.
Also, each leading entry is the only nonzero entry in its column.