Lectures related to Linear Algebra: Matrix Operations and Applications

Explores properties of 3x3 matrices with real coefficients and determinant calculation methods.

Explores the concept of linear dependence of vectors in a vector space.

Covers the reduction of a linear application and finding corresponding reduced forms and bases.

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

Covers linear independence, bases, and coordinate systems with examples and theorems.

Covers the concepts of kernel and image of a linear transformation and their relationship with the rank of the matrix.

Explores vector spaces, focusing on properties, examples, and subspaces within a practical exercise on polynomials.