Given v_1 = (−3, 1, 1), v_2 = (1, −3, 1), v_3 = (1, 1, −3), v_4 = (1, 1, 1), w_1 = (−1, 1, 1), w_2 = (1, −1, 1), w_3 = (1, 1, −1), prove that Span {v_1, v_2, v_3, v_4} = Span {w_1, w_2, w_3}.
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