---
tag: 0AJ035ZTZE
kind: concept
name: Generalised eigenspace
msc: [15A18]
sources:
  - url: https://en.wikipedia.org/wiki/Generalized_eigenvector
    locator: Overview and definition
---

## Summary

The generalised eigenspace of an endomorphism for a scalar $\lambda$ is a set of vectors.
It contains the vectors that some power of the map minus $\lambda$ times the identity sends to zero.