---
tag: 03AJKXH1AV
kind: concept
name: Column space
aliases: [range-of-a-matrix]
msc: [15A03]
sources:
  - url: https://en.wikipedia.org/wiki/Row_and_column_spaces
    locator: lead section
---

## Summary

The column space of a matrix is the span of its columns.
It is the image of the linear map of the matrix.