Lectures related to Best approximative subspace

Explores the application of linear algebra in quantum mechanics, emphasizing vector spaces, Hilbert spaces, and the spectral theorem.

Explores orthogonal base change in linear algebra, focusing on matrices and transformations.

Covers the concept of orthogonal complement and projection in vector spaces.

Explains orthogonal projection in linear algebra, focusing on transforming non-orthogonal bases into orthogonal ones.

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

Covers the theorems related to orthogonal projection and orthonormal bases.

Introduces orthogonal families, orthonormal bases, and projections in linear algebra.