1. Construct affine linear transformations to do the following to the square in Figure 4. la. (a) Rotate the square 180 counterclockwise around the origin (in the plane). (b) Move the square 7 units to the right, 3 units up, and double its width. (c) Make the vertical lines of the square slant at a 450 angle (height unchanged): (d) Reflect the square about the y-axis. 2. Write out the affine linear transformations in Exercise 1 in the form u' = Au + b, giving A and b. 3. Compute the new coordinates of the corners of the square in Figure 4. la for each of the transformations in Exercise 1. 4. If T is the triangle with corners at ( - 1, 1), (1, 1), (1, -1), draw T after it is transformed by each of the transformations in Exercise 1. 5. Apply each of the transformations of Exercise 1 to the grid in Figure 4.2a and plot your