1. Write a MATLAB code to find the eigenvalues and eigenvectors of a 3x3 real symmetric matrix. The program should ask a user to enter the 3x3 matrix and output each eigenvalue and the corresponding eigenvector. You are not allowed to use any MATLAB built-in functions except rots. Using [A]= [4 3 1:3 7-1; 1-19] check the accuracy of your code by comparing with the eigenvalues and eigenvectors obtained from the MATLAB eig command. (25 marks) 1. Write a MATLAB code to find the eigenvalues and eigenvectors of a 3x3 real symmetric matrix. The program should ask a user to enter the 3x3 matrix and output each eigenvalue and the corresponding eigenvector. You are not allowed to use any MATLAB built-in functions except rots. Using [A]= [4 3 1:3 7-1; 1-19] check the accuracy of your code by comparing with the eigenvalues and eigenvectors obtained from the MATLAB eig command. (25 marks)