This document discusses finding the inverse of a matrix using elementary matrices. It shows that the inverse can be found by performing row operations on the identity matrix using the negatives of the row operations needed to transform the original matrix into reduced row echelon form. The document also provides a reference for further information on matrix inverses and row operations.

1. The Inverse of a
Matrix

2. Elementary Matrices: Finding 𝐴−1

6. −𝟐𝒓𝟏 + 𝒓𝟐 → 𝒓𝟐

13. Reference
1. Introductory Linear Algebra with Applications 7th edition
By: Bernard Kolman and David R. Hill (2002)