Please do Problem 1 (a) (b) and problem 3 by using the MATLAB language.

Please follow the steps in the assignment.

Big Thanks.

Due Sun Nov 19, 11pm 1. Consider the linear system 2 2 21x21-14 -I -I 2k a). Find the exact solution of the system. b). Find the eigenvalues and eigenvectors of the matrix A 22 2 c). Find the spectral radius pT) where T is the iteration matrix for the Jacobi method and the Gauss-Siedel method applied to the linear system. 2. Consider the linear s ystem 12-20%) (7 a). Find the exact solution of the system. 1 2 -2 b). Find the eigenvalues and eigenvectors of the matrix A 1 c). Find the spectral radius pl(T) where T is the iteration matrix for the Jacobi method and the Gauss-Siedel method applied to the linear system. 3. Write matlab codes for computing the approximate solutions for a linear system using the Jacobi method and Gauss-Siedel methods. Apply the methods to the systems given in problems 1 and 2. Limit the total number of iterations performed to be no more than 25 for each iterative method. Use the initial guessx 0. Explain the results