---
tag: 0ZC9YTXZRY
kind: concept
name: Rank of a matrix
msc: [15A03]
sources:
  - url: https://en.wikipedia.org/wiki/Rank_(linear_algebra)
    locator: lead section
same_as:
  wikidata: Q656784
  wikipedia: Rank (linear algebra)
---

## Summary

The rank of a matrix is the dimension of the span of its columns, which equals the dimension of the span of its rows.