(a) Let U be the subspace of C de fined by U = {(z1, z2, z3, Z4, Z5) E C° : 6z1 = 22 and z3+2z4+3z5 = 0}. Find a basis of U. (b) Extend the basis in part (a) to a basis of C. (c) Find a subspace W of C such that C = U W.

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