Problem 4: For the following system of differential equations: dx1 = x1 + 2x2 dt dx2 = 3x1+ 2x2 dt *: (0) = , were, * = [x ]. a) Convert the above system to matrix from X = AX? b) Find the eigenvalues and eigenvectors for A matrix? c) Using the answers from b), solve the above initial-value problem IVP