Question: 2. (10 marks) Consider the set V = {(x, y) ER2 : xty= 1}. Let @ and * be operations on this set defined in

2. (10 marks) Consider the set V = {(x, y) ER2 : xty= 1}. Let @ and * be operations on this set defined in the following way: (21, y1) (x2, 32) = (21 + 22 - 1, y1 + 2) k x (x, y) = (kx - k + 1, ky) for k ER. Show that the set V equipped with operations @ and * is a real vector space

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