Question

Let be a binary operation on Z × Z defined by (a, b) (c, d) = (a + c, b + d); (a, b), (c, d) ∈ Z × Z. Find (1, 2) (3, 5) and (4, 3) (1, 0).

Answer 1

(1, 2) * (3, 5) = (4, 7) and

(4, 3) * (1, 0) = (5, 3)

Ans. (4, 7) , (5, 3)