---
tag: 0PHDYNR24D
kind: concept
name: Null space
msc: [15A03, 15A06]
sources:
  - url: https://en.wikipedia.org/wiki/Kernel_(linear_algebra)
    locator: lead section
---

## Summary

The null space of a matrix is the set of vectors that the matrix sends to zero.
It is the solution set of the homogeneous system with this matrix.