---
tag: 0S23E6YE83
kind: concept
name: Kernel of a linear map
aliases: [null-space-of-a-map]
msc: [15A04]
sources:
  - url: https://en.wikipedia.org/wiki/Kernel_(linear_algebra)
    locator: lead section
same_as:
  wikidata: Q2914509
  wikipedia: Kernel (linear algebra)
---

## Summary

The kernel of a linear map is the set of vectors that the map sends to zero.
It is a subspace of the domain.