---
tag: 01H6QKWGDH
kind: concept
name: Generalised eigenvector
msc: [15A18]
sources:
  - url: https://en.wikipedia.org/wiki/Generalized_eigenvector
    locator: Overview and definition
same_as:
  wikidata: Q970767
  wikipedia: Generalized eigenvector
---

## Summary

A generalised eigenvector of an endomorphism for $\lambda$ is a nonzero vector with a special property.
Some power of the map minus $\lambda$ times the identity sends it to zero.