Lectures related to Linear Algebra: Elementary Row Operations

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

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

Explores matrix rank and vector space inclusion through elementary row operations.

Covers linear algebra basics, including matrices, change of basis, and invertible matrices.

Covers matrix operations, transformations, and applications in linear algebra.

Explores matrix representations of linear maps and their invariance, using examples and special cases.