Lectures related to Numerical Analysis: Direct Methods for Linear Systems

Covers the LU decomposition method applied to linear systems, presenting the system in two steps.

Covers the LU decomposition method for matrix factorization and its application in electrical engineering.

Introduces LU decomposition for efficient linear equation solving using matrix factorization.

Explores the link between linear systems and optimization through elimination and LU decomposition.

Covers the concept of Singular Value Decomposition (SVD) for compressing information in matrices and images.

Covers the definition and properties of determinants, including the rule of Sarrus for 3x3 matrices.

Explains how to find free variables in matrix equations and analyze characteristic polynomials.