Consider the vectors u = 5 2 and v = −2 4 . Determine the image of these vectors under each of the linear transformations below. Then, for each linear transformation, describe geometrically what the transformation does to a general vector x y .
(a) T1 = −1 0 0 −1
(b) T2 = 0.5 0 0 0.5
(c) T3 = 0 0 0 1
(d) T4 = 0 1 1 0
(e) T5 = 1 3 0 1
