Lectures related to Linear Systems: Chapters 4, 5, 6

Covers LU factorization, linear independence, and matrix equations.

Explores vector subspaces in R4, symmetric matrices, basis vectors, and canonical forms.

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

Explores the Jacobi method and diagonalization techniques, including similarity transformation, power methods, and QR decomposition.

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

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

Covers the Choleski factorisation method for solving linear systems efficiently.