Consider the system described by

0 1 x(t)= = 4 x(t), -4-4 where x(t) = (x1(t), x2(t)). (a) Compute the state transition matrix (t, 0). (b) Using the state transition matrix from (a) and for the initial conditions x (0) = 1 and x2 (0)-1, find the solution x(t) for t 0.