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Consider the set of vectors, S={(1,k,-1).(-k.-3,3), (-2.1. k)). a) (i) Determine the value(s) of k such that the set S forms a linearly independent
Consider the set of vectors, S={(1,k,-1).(-k.-3,3), (-2.1. k)). a) (i) Determine the value(s) of k such that the set S forms a linearly independent set in R. I (4 marks) (ii) 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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