Let u and v be vectors in. It can be shown that the set P of all

Question:

Let u and v be vectors in. It can be shown that the set P of all points in the parallelogram determined by u and v has the form su + bv, for0 ( ( ( 1, 0 ( b (1. Let T: ( be a linear transformation. Explain why the image of a point in P under the transformation T lies in the parallelogram determined by T(u) and T(v).