Lectures related to Linear Transformations: Polynomials and Bases

Covers orthogonality, scalar products, orthogonal bases, and vector projection in detail.

Covers exercises related to linear algebra, focusing on finding bases and completing them in a vector space.

Explains linear independence, basis, and matrix rank with examples and exercises.

Covers the definition and use of coordinate systems and applications in bases and linear equations.

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

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