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Math 105LA Computer Assignment 6 Due Sun Nov 19, 11pm 1. Consider the linear svstem 2221%,-14 1-1 2 a). Find the exact solution of the system. 2 -1 1 b). Find the eigenvalues and eigenvectors of the matrix A = c). Find the spectral radius p(T) where T is the iteration matrix for the Jacobi method and the Gauss-Siedel method applied to the linear system. 2. Consider the linear system a). Find the exact solution of the system. 1 2 -2 b). Find the eigenvalues and eigenvectors of the matrix A -11 1 c) Find the spectral radius (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 guess x'0-0. Explain the results