Linear Systems: Direct and Iterative Methods

This lecture covers the concepts of linear systems, focusing on direct methods for solving them, such as round-off errors and matrix conditioning in Chapter 4, and iterative methods like Richardson's, Jacobi's, and Gauss-Seidel's methods in Chapter 5. The slides delve into the condition number of matrices, symmetric and positive definite systems, norm of matrices, and the application of Richardson's algorithm in solving linear systems.