Question

Let A = {a, b, c}, B = {x, y}. Find the following:

1. A × B

2. B × A

Answer 1

1. $A\times B=\begin{Bmatrix} (a,x) ,\: (b,x),\:(c,x), \: (a,y), \: (b,y),\:(c,y) \end{Bmatrix}$
2. $B\times A=$ $\begin{Bmatrix} (x,a) ,\: (y,a),\:(x,b), \: (y,b), \: (x,c),\:(y,c) \end{Bmatrix}$