Lectures related to Matrix Equations and Solutions

Covers vector spaces, subspaces, kernel, image, linear independence, and bases in linear algebra.

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

Explores matrix determinants, linear independence, and bases in vector spaces.

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

Introduces orthogonal families, orthonormal bases, and projections in linear algebra.

Introduces fundamental concepts in linear algebra, such as vector spaces and eigenvalues.