Lectures related to Orthogonality and Subspaces

Explores polynomial operations, properties, and subspaces in vector spaces.

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

Covers the definition and properties of vector spaces, along with examples like Euclidean spaces and matrix spaces.

Explains orthogonal families, bases, and projections in vector spaces.

Explores orthogonality, triangle inequality, and the Pythagorean theorem in vector spaces.

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

Covers matrix operations, scalar product, orthogonality, and bases in vector spaces.

Covers the properties of Euclidean spaces, focusing on R^n and its applications in analysis.