---
tag: 07BSPZPSMF
kind: concept
name: Nilpotent matrix
msc: [15A99]
sources:
  - url: https://en.wikipedia.org/wiki/Nilpotent_matrix
    locator: lead section
same_as:
  wikidata: Q650670
  wikipedia: Nilpotent matrix
---

## Summary

A nilpotent matrix is a square matrix $N$ such that $N^k = 0$ for some positive integer $k$.