Question: 6. (a) Prove that the vectors u = (2, 1,0), v = (1,0,3), w = (0,1,1) are linearly independent. (b) Prove that the vectors u

6. (a) Prove that the vectors u = (2, 1,0), v = (1,0,3), w = (0,1,1) are linearly independent. (b) Prove that the vectors u = (2, 1,0), v = (4, 2,0), w = (0, 1, 1) are linearly dependent. (0) Let u, v, W be three linearly independent vectors, and a, b, c be any three nonzero real numbers. Prove that the vectors au, bv, cw are also linearly independent

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