Lectures related to Properties of Determinants

Covers the matrix representations of linear applications and the equivalence between matrices.

Explores matrix inversion, conditions for invertibility, uniqueness of the inverse, and elementary matrices for inversion.

Explores the rank theorem, matrix dimensions, and subspaces, illustrating their relationships and implications.

Covers the fundamentals of linear equations, matrices, and systems of linear equations, including matrix operations and solutions.

Covers the theory and examples of diagonalizing matrices, focusing on eigenvalues, eigenvectors, and linear independence.