Lectures related to Linear Algebra: Matrix Representation

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

Introduces orthogonal families, orthonormal bases, and projections in linear algebra.

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

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

Covers determining vector spaces, calculating kernels and images, defining bases, and discussing subspaces and vector spaces.