Question: Does the set S = {(1, 1, 2), (1, 2, 5), (5, 3, 4)} form a basis for R 3? If so, prove it. If

Does the setS= {(1, 1, 2), (1, 2, 5), (5, 3, 4)} form a basis forR3? If so, prove it. If not, provide a basis for the subspace thatSspans. You may use your calculator for row reduction, but if you do, be sure to indicate that on your work.

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