This problem is a continuation of the previous problem. a. Let us define vectors Show that *-[--[1] V2 = Av = V. Av = -0.3v. b. Suppose that x = CV+0V where c and c are scalars. Use the Linearity Principle expressed to explain why X = AX = CV-0.302V2. c. Continuing in this way, explain why X3 = Ax = CV + (-0.3)cV X = Ax3 = CV + (-0,3)cV. X5 = Ax = CV + (-0.3)V2 d. Suppose that there are initially 500 bicycles at location B and 500 at location c. Write the vector x and find the scalars c and such that x = CV + 0V. e. Use the previous part of this problem to determine x, x3 and x. f. After a very long time, how are all the bicycles distributed?