Lectures related to Linear Transformations and Change of Bases

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

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

Emphasizes the importance of using orthogonal bases in linear algebra for representing linear transformations.

Covers the concept of diagonalization of matrices through the study of eigenvectors and eigenvalues.

Explores the properties of invertible matrices, including unique solutions and linear independence.