Lectures related to Orthogonal/Orthonormal Bases and Polynomials

Explores signal approximation, orthogonal bases, Fourier series, correlation, and vector geometry.

Covers diagonalization of matrices, eigenvectors, linear maps, and least squares method.

Explores the fundamental theorem on singular values and the formation of orthonormal bases from eigenvectors.

Introduces linear combinations in vector spaces, operations, and polynomials of degree 2.

Explores bases in vector spaces, including linear combinations, orthogonal bases, and basis transformations using rotation matrices.

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