Lectures related to Linear Systems: Diagonal and Triangular Matrices, LU Factorization

Covers matrix operations, including multiplication, transposition, powers, and inverses, and explains how to determine if a matrix is invertible.

Explores matrix equivalence theorems for systems of equations and least squares solutions.

Explores LU decomposition of a matrix into lower and upper triangular matrices.

Explores LU decomposition for matrix factorization and solving linear systems.

Summarizes methods for resolving linear systems, including Gaussian elimination and LU decomposition.