Determine whether the following linear transformations are 1-1,onto and/or bijective. Justify your answer:

(a) T : R3 R3 given by T(x, y, z) = (x y, y z, z x).

(b) T : R3 R2 given by T(x, y, z) = (x + y + z, x + 2y + 3z).

(c) T : R[x] R[x] given by T(f(x)) = f(x2).

(d) T : M33(R) M33(R) given by T(A) = 2A + AT