Lectures related to Operations on Linear Applications

Explores the vectorial structure of linear applications, including addition, scalar multiplication, and matrix representation.

Covers linear algebra in three dimensions, focusing on matrices and determinants.

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

Explores matrix operations, rank determination, kernel dimensions, and basis concepts in linear algebra.

Covers linear transformations, matrices, kernels, and properties of invertible matrices.

Explores linear applications in R² and matrix representation, including basis, operations, and geometric interpretation of transformations.

Explores projections in R³, matrix properties, and trace concepts with practical examples.

Explores change of basis matrices in linear algebra, emphasizing the importance of understanding matrix transformations between different bases.