Problem 1. 8 (1 point) Suppose A = 10 (a) The eigenvalues of A are (from small to large, or from small to large for its imaginary part) -2 and 13 (b) The eigenvector for the first eigenvalue with 1 be its first component is The eigenvector for the second eigenvalue with 1 be its first component is (c) Find the solution of the Initial Value Problem: dx/dt = Ax, x(0) = (-1, 4) T. The solution is x1 (t) and a 2 (t)