Lectures related to Orthogonal Linear Maps

Covers tensor algebras, symmetric and exterior algebras, and tensor products of modules.

Covers the properties and calculations of matrix determinants, including special cases and examples.

Explores multilinear groin and determinants, including the Sarrus rule and proof by induction.

Explores the relationship between linear applications and matrices, emphasizing the conversion process between them.

Covers the basics of linear algebra, focusing on solving systems of linear equations through operations to triangular form.

Explores subspaces, matrix equations, linear transformations, and their matrix representations in linear algebra.