Question 2 (5 points): Consider a triangle in the plane with corners at the points (1, 1) and (2, 4) and (2, 2) (a) Write down homogeneous coordinates that correspond to each of these corners. (b) Consider the transformations with matrices A =   1 0 5 0 1 0 0 0 1   and B =   1 0 0 0 1 −2 0 0 1   Write down the effect of applying A to each of the corners. Describe what A is doing geometrically. (c) Describe what B is doing geometrically. (d) Describe what the product AB is doing geometrically.