Lectures related to Linear Systems: Direct Methods

Covers direct methods for solving linear systems in numerical analysis.

Covers methods to solve linear systems with a finite number of operations.

Explores LU decomposition for solving linear systems and the associativity of operations.

Covers the Singular Value Decomposition (SVD) in detail, including properties of matrices and system linearity.

Explores Gram-Schmidt process, orthogonal projection, QR factorization, and least squares solutions for linear systems.

Covers iterative methods for solving linear systems, including Jacobi and Gauss-Seidel methods.

Explains the Gaussian elimination algorithm with pivoting and LU factorization for linear systems.