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

The column space of a matrix consists of all linear combinations of the matrices columns. In this video we show how to to find a basis to describe this subspace.

Simply perform row operations on A to obtain a reduced echelon form of the matrix. Identify the pivots in the reduced matrix. For each pivot location, grab the corresponding column in the original matrix. This collection of columns forms a basis for col(A) and the number of vectors/pivots is the dimension of the space.

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!

You must log in to post a comment.