In each case, find a basis over C, and determine the dimension of the complex subspace U of C3 (see the previous exercise).
(a) U = {(iv + w, 0, 2v - w) | v, w in C}
(b) U = {(u, v, w) | 2u + (1 + i)v - iw = 0;
u, v, w in C}