Question: /////////////////// a) Suppose that {5, 113} is a basis for some space S. Show that {5 + it, {13} is another basis for S. b)

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a) Suppose that {5, 113} is a basis for some space S. Show that {5 + it, {13} is another basis for S. b) Show that the vectors 1 1 1 16. = 1 , y = 2 , :2" = 1 0 4 are a basis for R3. c) Consider the vectors 1 1 2 F = 0 , S" = b , t: 0 . 3 1 2 For what values of b (if any) is {i 3', t} a basis for R3

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