Problem 3: Consider the LTV system i : A(t)a:, with i sin t 0 A t = 1 ( ) f 0 cost] ( ) a . . Tum) . . . a Calculate the solution starting at time t 2 0 from 56(0) : (0) by direct 1ntegrat10n. $2 ( ) (b) Find the state transition matrix (t, to). (0) Suppose that 1(t2) is known What is the value of 33(t) at 351 (t, 7'). Does your result depend on whether the coordinate transformation matrix M is time dependent