For each of the following linear transformations T, determine whether T is invertible and justify your answer. (a – 2b () (a) T : C2 → C³ defined by T a b+a (6) а — 26\ (b) T : R³ → R³ defined by T c+...

Extracted text: For each of the following linear transformations T, determine whether T is invertible and justify your answer. (a – 2b () (a) T : C2 → C³ defined by T a b+a (6) а — 26\ (b) T : R³ → R³ defined by T c+ 26 (c) T : P3(Q) → P2(Q) defined by T(p(x)) = p'(x). (d) T : M2(Q) → P3(Q) defined by a b T = ax + ax? + (b+c)x +d. c d