8. Let W denote the subspace of R5 consisting of all the vectors having coordinates that sum to zero. The vectors u₁ = (2, 3, 4, 5, 2), U3 (3,-2,7, -9,1), = u5 = (-1, 1,2,1,-3), U5 u₂ = (-6, 9, -12, 15, -6), 12 u4=(2,-8, 2, -2, 6), u6= (0, -3, -18, 9, 12), U6 u7 (1, 0, -2,3,-2), us (2,-1,1,-9, 7) U7 = = generate W. Find a subset of the set {u₁, u2,..., us} that is a basis for W.

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