change of basis

(2.3 hours to learn)


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.


This concept has the prerequisites:


  • 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)


Khan Academy: Linear Algebra


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


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

See also