Given,
A = {–1, 2, 3} and B = {1, 3}
(i) B × B
{1, 3} ×{1, 3}
So, B × B = {(1, 1), (1, 3), (3, 1), (3, 3)}
As a result, the Cartesian product is {(1, 1), (1, 3), (3, 1), (3, 3)}
(ii) A × A
{–1, 2, 3} × {–1, 2, 3}
So, A × A = {(–1, –1), (–1, 2), (–1, 3), (2, –1), (2, 2), (2, 3), (3, –1), (3, 2), (3, 3)}
Hence,
As a result, the Cartesian product is {(–1, –1), (–1, 2), (–1, 3), (2, –1), (2, 2), (2, 3), (3, –1), (3, 2), (3, 3)}