Lectures related to Linear Algebra: Matrices and Operations

Covers vector spaces, bases, and decomposition of vectors in R³.

Explores linear transformations, matrices, injective, surjective, and bijective properties, matrix operations, and special matrix types.

Covers the diagonalization of linear transformations in R^3, exploring properties and examples.

Covers elementary matrices, their properties, and the algorithm to find the inverse of a matrix.

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

Covers fundamental concepts in linear algebra, including linear equations, matrix operations, determinants, and vector spaces.

Explains the construction of U, verification of results, and interpretation of SVD in matrix decomposition.