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Consider the set of vectors S 1 k 1 k 3 3 2 1 k...

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Algebra

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Consider the set of vectors S 1 k 1 k 3 3 2 1 k Determine the value s of k such that the set S forms a linearly independent set in R i ii 4 marks Suppose that k 1 and an additional vector 3 4 5 is added to the set S Using TWO different methods discuss whether the new set of vectors form a basis for R 6 marks

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