Suppose that ú, v and w are any three vectors in some R". Show that the set of three vectors: S = {2ủ + v, 4ủ + 5v – 4w, ủ – v + 2w}, will always be a dependent set. Hint: form the dependence test equation involving these three new vectors and find a non-trivial solution.

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A: The solution is given as

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A: Solution :-

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