Question: Let U C (C4 be the subspace U = {(21,22, 23, 24) E (C4 2 21 + zz + 23 + 24 = O and

Let U C (C4 be the subspace U = {(21,22, 23, 24) E (C4 2 21 + zz + 23 + 24 = O and zl = 1'22}. (a) Find a basis for U. What is dim U? (b) Extend the basis from part (a) to a basis for (C4. (c) Find a subspace W C (C4 such that (C4 = U 9 W. What is dim W

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