# computing matrix inverses

(1.6 hours to learn)

## Summary

Matrix inverses can be computed using Gaussian elimination.

## Context

This concept has the prerequisites:

- matrix inverse
- Gaussian elimination (Gaussian elimination is the algorithm for computing the inverse.)

## Goals

- Be able to use Gaussian elimination to compute the inverse of a matrix.

## Core resources (read/watch one of the following)

## -Free-

→ A First Course in Linear Algebra (2012)

A linear algebra textbook with proofs.

## -Paid-

→ Multivariable Mathematics

A textbook on linear algebra and multivariable calculus with proofs.

Location:
Section 4.2, "Elementary matrices and calculating inverse matrices," pages 147-155

→ Introduction to Linear Algebra

An introductory linear algebra textbook with an emphasis on numerical methods.

Location:
Section 2.5, "Inverse matrices," starting from "Calculating A^{-1} by Gauss-Jordan elimination," pages 83-87

## See also

-No Additional Notes-