Lectures related to Orthogonal Basis of Subspaces

Explains Singular Value Decomposition, focusing on orthogonal vectors and matrix decomposition.

Covers tensor products, symmetric power, and exterior power of vector spaces, including properties and applications.

Explains orthogonal bases in R^2 and how to perform orthogonal projections.

Explains orthogonal matrices, Gram-Schmidt process, and best vector approximation in subspaces.

Covers orthogonal linear maps, orthogonal matrices, invertibility, and least squares solutions in Euclidean spaces.