Course website: https://www.adampanagos.org/ala-applied-linear-algebra
We work with two different subspaces in this video example. In the first part, we work with a subspace of R3 and find a basis for the subspace. Since the basis has two vectors we can conclude the subspace is two-dimensional.
In the second example we work with a subspace of R2. In this example, the basis for the subspace consists of just a single vector and thus is a one-dimensional subspace. We visualize the set of points in the R2 plane and confirm the subspace is indeed a one-dimensional line.
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!