IF A = (a, b) and B = {x, y, z), find A ×B, B x A, A X A and B x B. Also, show A×B is not equal to B×A

Step-by-step explanation:

A×B={(a , x) ,( a , y), (a ,  z), (b ,x) ,(b ,y) ,(b ,z)}

B × B= {(x , x), (x ,y ), (x, z),(y ,x ),(y, y), (y, z),( z ,x ),( z, y),( z ,z)}

A×A={ (a, a), (a, b),( b, a) ,(b ,b )}

B×A= { (x ,a) ,(x, b),( y , a) ,(y , b) ,(z ,a), (z ,b ) }