Answer in book says both these (d,f) below are linear transformations, please show me how? 2) Which of the following are linear transformations from R2 >R2? (d) Rotation: if x = rcos0,y rsin0, then...

need help w d and f (lin algebra)

Extracted text: Answer in book says both these (d,f) below are linear transformations, please show me how? 2) Which of the following are linear transformations from R2 >R2? (d) Rotation: if x = rcos0,y rsin0, then T(x, y) (rcos(0), rsin(0 + p)) for some constants angle p (f) Reflection: given a fixed vector 7 = (a, b), T maps each point to its reflection with respect to r 2x,