---
tag: 0YY8VX28JR
kind: concept
name: Moore–Penrose inverse
aliases: [pseudoinverse]
msc: [15A09]
sources:
  - url: https://en.wikipedia.org/wiki/Moore–Penrose_inverse
    locator: Definition
same_as:
  wikidata: Q43219517
  wikipedia: Moore–Penrose inverse
---

## Summary

The Moore–Penrose inverse of a matrix is the unique matrix that satisfies four equations of Penrose.
It gives the least squares solution of least norm of a linear system.