---
tag: 0G0RFPG8HR
kind: concept
name: Eigenspace
msc: [15A18]
sources:
  - url: https://en.wikipedia.org/wiki/Eigenvalues_and_eigenvectors
    locator: Eigenspaces, geometric multiplicity, and the eigenbasis
---

## Summary

The eigenspace of a linear map for a scalar $\lambda$ is the kernel of the map minus $\lambda$ times the identity.
It consists of the eigenvectors for $\lambda$ together with zero.