Question

Let A = {–1, 2, 3} and B = {1, 3}. Determine

(i) A × B 

(ii) B × A

(iii) B × B 

(iv) A × A

Answer 1

(i) A × B = {(– 1, 1), (–1, 3), (2, 1), (2, 3), (3, 1), (3, 3)}

(ii) B × A= {(1, –1), (1, 2), (1, 3), (3, –1), (3, 2), (3, 3)}

(iii) B × B = {(1, 1), (1, 3), (3, 1), (3, 3)}

(iv) A × A= {(–1, –1), (–1, 2), (–1, 3), (2, –1), (2, 2), (2, 3), (3, –1), (3, 2), (3, 3)}