Lectures related to Linear Algebra: Matrices and Endomorphisms

Explores changing bases in vector spaces and the matrix representation of this change.

Introduces the definition and examples of A-modules, including sub-modules and ideals.

Covers matrix operations, scalar product, orthogonality, and bases in vector spaces.

Explores Lorentz transformations, covariant tensors, rotational invariance, and linear transformations in vector spaces.