Question: Question 1 (10 Marks] (c) Let a E R and suppose that r = ap + q. Determine the value of F(p, q, r). Fully

Question 1 (10 Marks] (c) Let a E R and suppose that r = ap + q. Determine the value of F(p, q, r). Fully justify your answer. Suppose that p, q, r E R'. We define a function, F, with three arguments, F(p, q, r) = p. (q x r). (a) Carefully write down what it means for F to be linear in the third argument. (b) Prove that F is linear in the third argument

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