Cramer's rule

(35 minutes to learn)

Summary

Cramer's rule is an explicit formula for the inverse of a matrix in terms of determinants of submatrices. While it is inefficient for large matrices, it is useful for analyzing inverses of small matrices algebraically.

Context

This concept has the prerequisites:

Goals

  • Be able to use Cramer's rule to solve linear systems and compute matrix inverses

Core resources (read/watch one of the following)

-Free-

MIT Open Courseware: Linear Algebra (2011)
Videos for an introductory linear algebra course focusing on numerical methods.
Author: Gilbert Strang

-Paid-

See also

-No Additional Notes-