Lectures related to Polynomial Approximation: Orthonormal Basis and Projection

Explains orthogonal projection onto a subspace and finding orthogonal bases using Gram-Schmidt procedure.

Explores orthogonal projections, orthonormal bases, and QR factorization in linear algebra.

Explores Legendre polynomials properties and their use in numerical integration.

Explains the construction of U, verification of results, and interpretation of SVD in matrix decomposition.

Explores Gram-Schmidt process, orthogonal projection, QR factorization, and least squares solutions for linear systems.

Explains orthogonal matrices, Gram-Schmidt process, and best vector approximation in subspaces.

Explores orthogonal complement and projection theorems in vector spaces.