Which of the following are linear transformations from R2 to R2? (a) Shear: T(x, y) = (x+ cy, y) for some constant c. (b) Translation: T(x, y) = (x + a, y + b) for some constantsa and b. (c) Blow-up:...

Nedd help with d)

Extracted text: Which of the following are linear transformations from R2 to R2? (a) Shear: T(x, y) = (x+ cy, y) for some constant c. (b) Translation: T(x, y) = (x + a, y + b) for some constantsa and b. (c) Blow-up: T(r, y) = (ax, by) for some constants a and b. (d) Rotation: if r = r cos 0, y = rsin 0, then T(z,y) = (r cos(60 + ), r sin(0 + )),