change of basis

(2.3 hours to learn)

Summary

Sometimes it's convenient to perform computations in a basis other than the standard one. Change of basis matrices can be used to convert vectors and matrices from one basis to another.

Context

This concept has the prerequisites:

Goals

  • Understand what it means to represent a linear transformation in a basis other than the standard one
  • Be able to convert matrices and vectors between bases algebraically

Core resources (read/watch one of the following)

-Free-

Khan Academy: Linear Algebra

-Paid-

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

-Free-

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

See also