Lectures related to Orthogonal Complement and Projection Theorems

Covers linear applications, diagonalizable matrices, eigenvectors, and orthogonal subspaces in R^n.

Covers linear independence, bases, and coordinate systems with examples and theorems.

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

Explores bases, dimensions, and matrix ranks in vector spaces with practical examples and proofs.