matrix inverse

(1.8 hours to learn)


The inverse of a matrix A is a matrix which, when multiplied by A, gives the identity matrix. When it exists, it can be used to solve systems of linear equations.


This concept has the prerequisites:

Core resources (read/watch one of the following)


MIT Open Courseware: Linear Algebra (2011)
Videos for an introductory linear algebra course focusing on numerical methods.
Author: Gilbert Strang
Khan Academy: Linear Algebra
Other notes:
  • Watch the "Functions and linear transformations" lecture sequence if you're not used to thinking of matrices as linear transformations.

Supplemental resources (the following are optional, but you may find them useful)


A First Course in Linear Algebra (2012)
A linear algebra textbook with proofs.
Author: Robert A. Beezer


See also