1 2 2) (36 points) Consider the two 2D points: p, = |1| and p, = |2]| (please note that these 1 1 points are expressed in homogeneous coordinates). You want to uniformly scale point p- by 1/2 and then rotate point p, by 45 degrees. Though. you want to perform these two operations about point p,. 1.e.. not the origin. After this transformation. the new 1 2442 | 2 1 location of the point p, is p', = a. (15 points) You will need four 3 > 3 transformation matrices to perform the above transformation. Clearly write the contents of each of these four matrices and indicate the name of the affine transformation for each. Entries in all matrices must have numeric values. b. (15 points) Write the four transformation matrices in part (a) as a sequence of multiplications that would correctly perform the transformation. c. (6 points) Add the point p2 to the matrix sequence in part (b) and complete the multiplication. Your final answer should be point p\" 2. Show the result of each matrix multiplication