Course website: https://www.adampanagos.org/ala-applied-linear-algebra

A linear transformation can always be represented as a matrix operation on some vector x. In this example we’re told values for T(e1), T(e2), and T(e3) where ei are “coordinate vectors”. These vectors have a zero in every coordinate except a single one in their “ith” coordinate. Using this information we construct the standard matrix representation of the linear transformation T. We also use the linearity property of the transform to find T(x) for another vector x.

If you enjoyed my videos please “Like”, “Subscribe”, and visit http://adampanagos.org to setup your member account to get access to downloadable slides, Matlab code, an exam archive with solutions, and exclusive members-only videos. Thanks for watching!