1. In each of the following exercises, use a rectangular coordinate system to plot (by hand or Matlab) the vectors 11 and their images under the given transformation. Make a separate sketch for each exercise. Describe geometrically what 7' does to each vector x in R2. (a) T(x) = (b) T(x) 2. Consider the transformations on R defined by each of the following matrices. Sketch (by hand or Matlab) the image of the unit square under each transformation. Make a separate sketch for each exercise. (a) T(x) 0 (b) T(x) 0.5 0 r.1 0 0.5