---
tag: 0E3MV6E6MG
kind: concept
name: Polynomial of an endomorphism
msc: [15A04, 15A54]
sources:
  - url: https://en.wikipedia.org/wiki/Matrix_polynomial
    locator: lead section
same_as:
  wikidata: Q6787887
  wikipedia: Matrix polynomial
---

## Summary

Let $p$ be a polynomial and let $A$ be a square matrix or an endomorphism.
Then $p(A)$ is the result of substituting $A$ for the variable of $p$, with the identity in place of the constant $1$.