Problem ( 1. Create a 3 by 3 matrix M using the 8 digits of your student number and the number1 in the lower right entry. For example, if your student number is 12345678 then M- 4 5 6 Let A M +MT where M is the transpose of M. Then A is a symmetric matrix and all the eigenvalues are real 2 As, Save the matrix A as a variable A. 2. Use the MATLAB function eig to compute the eigenvalues and eigenvectors of A. Let 2 3 be the eigenvalues of A. Choose and let ui be a corresponding eigenvector (with unit length ul-1). Save Ai as a variable lambda1 and save vi as a variable v 3. Consider the linear systern of equations Ax. Let x(t)-Fi (t),x2(t),T3(t)]T be the unique solution such that x (0) = ul. In the same figure, plot each of the functions x1(t), x2(t) and x3(t) on the interval 0Sts. (It is not necessary to use ode45 because we can find the exact solution.) Save the figure as symmetric.fig. Submit the files symmetric.fig and assignment3.mat with variables A, 1ambda1 and v Problem ( 1. Create a 3 by 3 matrix M using the 8 digits of your student number and the number1 in the lower right entry. For example, if your student number is 12345678 then M- 4 5 6 Let A M +MT where M is the transpose of M. Then A is a symmetric matrix and all the eigenvalues are real 2 As, Save the matrix A as a variable A. 2. Use the MATLAB function eig to compute the eigenvalues and eigenvectors of A. Let 2 3 be the eigenvalues of A. Choose and let ui be a corresponding eigenvector (with unit length ul-1). Save Ai as a variable lambda1 and save vi as a variable v 3. Consider the linear systern of equations Ax. Let x(t)-Fi (t),x2(t),T3(t)]T be the unique solution such that x (0) = ul. In the same figure, plot each of the functions x1(t), x2(t) and x3(t) on the interval 0Sts. (It is not necessary to use ode45 because we can find the exact solution.) Save the figure as symmetric.fig. Submit the files symmetric.fig and assignment3.mat with variables A, 1ambda1 and v