Lectures related to Linear Transformations: Matrices and Applications

Covers the properties and operations of vector spaces, including addition and scalar multiplication.

Covers LU factorization, linear independence, and matrix equations.

Covers linear applications, matrices, transformations, and the principle of superposition.

Covers linear transformations using matrices, focusing on linearity, image, and kernel.

Covers the diagonalization of linear transformations in R^3, exploring properties and examples.