3. In the following, do not use any knowledge you have of how to mul tiply two matrices. Base your answers on the composition of transfor mations. Use the My and R2700 in the preceding problem. (a) Fld R2700My. (b) Suppose A = (E: 2), B = (:3 Z). Show that the component am Pm op dq wise product is NOT the product AB. Suggestion: You just determined what the R2700My should be. Show that the componentwise product doesn't give you the correct value for the product. (c) Suppose A, B are two linear transformations. Would you expect AB 2 BA? Defend your conclusion. (d) We say that A, B are inverse transfomatz'ons if AB = I (the \"do nothing\" transformation). Find the inverse of R2700. (We write this as (fig7100) (e) Find My' 1. (f) Suppose A, B are two linear transformations with inverses A'l, B'l. What is (AB)_1 in terms of A'1 and B'l? Explain the reasoning that led you to your conclusion. (g) If A is a transformation, we dene AAA - - - A = A\". Find (122700)\" 91. times and (Malone