Question

The Cartesian product A × A has 9 elements among which (– 1, 0) and (0, 1) are found. Find the set A and the remaining elements of A × A

Answer 1

n(A × A) = 9

n(A) = 3

A = {–1, 0, 1}

A × A = {–1, 0, 1} × {–1, 0, 1}

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

The remaining elements of A × A = {(–1, –1) (–1, 1) (0, –1) (0, 0) (1, –1) (1, 0) (1, 1)}1