Lectures related to Triangular Matrices: Properties and Applications

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

Covers the reduction of a linear application and finding corresponding reduced forms and bases.

Covers the basics of matrix inversion, properties of matrix multiplication, and the uniqueness of matrix inverses.

Covers linear systems, diagonal and triangular matrices, and LU factorization.

Explores matrices, inverses, and their applications in linear algebra, emphasizing composition and transformation properties.

Covers the composition and product of matrices, including matrix multiplication.

Explains the step-by-step process of LU factorization of a matrix.