6. (a) Let u, v, w be three linearly independent vectors in Euclidean Space R^7. Determine a value of k, k= |, so that the set S= {u - 3v, v – 7w, w - ku} is linearly dependent. (b) If k is a real number, then the vectors (1, k), (k, 4k+32) are linearly independent precisely when kta, b, where a=! b= and a

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