Lectures related to Linear Maps: Basis and Applications

Explores linear applications, matrices, injectivity, unique solutions, and matrix operations.

Explores matrix operations, linear systems, solutions, and the span of vectors in linear algebra.

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

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

Explores subspaces in linear algebra and transformations, including kernels and images of linear transformations.