Lectures related to Matrix Calculus: Determinants

Explains row-echelon and reduced row-echelon matrices and their role in simplifying system resolution.

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

Explores the equivalence between different properties of linear transformations represented by matrices and various matrix operations.

Explores properties of orthogonal and triangular matrices with linearly independent columns and their mathematical operations.

Introduces the Gram-Schmidt algorithm, QR factorization, and the method of least squares.