MATLAB assignment

follow the steps given and do the assignment.

Make sure to use MATLAB for all your coding steps.

1. Consider the linear system -I 4-11x21=14 a). Find the exact solution of the system. b). Show that the matrix is symmetric, positive definite. c). Find the spectral radius p(T) where T, is the iteration matrix for the SOR method applied to the above linear system when =, the optimal value you found below. d). What is the optimal value of the relaxation parameter o for the SOR method? e). Write a matlab code for computing the approximate solutions for a linear system using the SOR method. Solve the above system using the optimal choice of as well as . /2 and 2a. Explain your results