Let U be the subspace of C5 given by U = {(21, 22, 23, 24, 25) | 621 = 22 and 23 +224 +325 = 0}. (a) Find a basis of U. (b) Extend the basis in part (a) to a basis of C5. (c) Find a subspace W of C5 such that C5 = U@W.

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