Lectures related to Coxeter Groups: Spectral Theorem and Sylvester's Criterion

Explores cross-correlation, convolution, signal approximation, orthonormal functions, and orthogonal approximation theorem in signals and systems.

Covers linear applications, eigenvalues, eigenvectors, and geometric interpretations of square matrices.

Covers orthogonal bases, Gram-Schmidt method, linear independence, and orthonormal matrices in vector spaces.