---
tag: 0J5EMJRRFM
kind: concept
name: Characteristic polynomial of a linear map
msc: [15A04, 15A18]
sources:
  - url: https://en.wikipedia.org/wiki/Characteristic_polynomial
    locator: Formal definition
---

## Summary

The characteristic polynomial of an endomorphism of a finite-dimensional vector space is the characteristic polynomial of its matrix in any basis.