7. For the following linear transformations, determine whether they are onto, one-to-one, both or neither. Further determine if T is invertible. Justify your answers using the appropriate definitions and theorems. (a) T : R3 - R2 defined by T 5x2 20 2 = 21 - 823 (b) T : P2(R) - R3 defined by p(1) T(p) = | p'(1) LP"(1) where p'(x) and p"(x) are the first and second derivative of p(x), respectively. (c) T : R4 + M2(R) defined by 2 1 20 2 5x4 4x2 - 34 T 3x1 - 6x3 - 24 X1 - 2 3