---
tag: 07SQCNV233
kind: concept
name: Diagonalisable matrix
aliases: [diagonalizable-matrix]
msc: [15A20]
sources:
  - url: https://en.wikipedia.org/wiki/Diagonalizable_matrix
    locator: Definition
same_as:
  wikidata: Q1767080
  wikipedia: Diagonalizable matrix
---

## Summary

A square matrix is diagonalisable when it is similar to a diagonal matrix, that is, when its space has a basis of eigenvectors.