Lectures related to Geometric Examples

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

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

Introduces orthogonal bases, projection onto subspaces, and the Gram-Schmidt process in linear algebra.

Covers ideals, representations, modules, and maximal ideals in associative algebras.

Covers advanced Python topics like numpy operations, scipy linear algebra, and matplotlib for creating figures.

Covers strategies for matrix operations and the concept of vector spaces.

Explores Lie Algebra's connection to Group Theory through associative operations and Jacobi identities.