Question

If A = {1, 3, 6}, B = {4, 8} then A x A is

• A. {(1, 1), (3, 3), (6, 6)}
• B. {(1, 3), (1, 6), (3, 1) {(3, 6), (6, 1), (6, 3)}
• C. {(1, 4), (1, 8), (3, 4), {(3, 8), (6, 4), (6, 8)}
• D. {(1, 1), (1, 3), (1, 6), {(3, 1), (3, 3), (3, 6), {(6, 1), (6, 3), (6, 6)}

Answer 1

The correct option is D

{(1, 1), (1, 3), (1, 6), {(3, 1), (3, 3), (3, 6), {(6, 1), (6, 3), (6, 6)}

Cartesian product A x B of two sets A and B is given by

A x B = {(a, b): a ϵ A, b ϵ B}

Hence, A x A = {(1, 1), (1, 3), (1, 6), {(3, 1), (3, 3), (3, 6), {(6, 1), (6, 3), (6, 6)}