Lectures related to Lines Spaces and Equivalent Matrices

Covers the concept of basis, linear transformations, matrices, inverses, determinants, and bijective transformations.

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

Covers normed spaces, dual spaces, Banach spaces, Hilbert spaces, weak and strong convergence, reflexive spaces, and the Hahn-Banach theorem.

Covers linear transformations using matrices, focusing on linearity, image, and kernel.

Covers diagonalization of matrices, eigenvectors, linear maps, and least squares method.

Covers linear equations, vectors, and matrices, exploring their fundamental concepts and applications.