The cartesian product A × A has 9 elements among which are found {–1, 0} and {0, 1}. Find the set A and remaining elements of A × A.

(-1, 0) ∈ A × A Also (0, 1) ∈ A

A = {-1, 0, 1}

A × A = {-1, 0, 1} × {-1, 0, 1} = {(-1, -1), (-1, 0), (-1, 1), (0, -1), (0, 0), (0, 1), (1, -1), (1, 0), (1, 1)}