Linear Algebra Example Problems - Change of Coordinates Matrix #1

http://adampanagos.org

Course website: https://www.adampanagos.org/ala

In the previous video, we were provided a basis B and the vector x. We then computed the vector [x]B, the representation of x with respect to the basis B.

In this problem we construct a "change-of-coordinates" matrix P that can transform any vector written with respect to basis B back to the standard basis. This transformation takes place by the matrix-vector multiplication P*[x]B. For the particular values of [x]B and x we've considered previously, we check that indeed P*[x]B = x as expected.

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!