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-