Using Set Theory if A = (a1, a2, a3) and B = (b1, b2)
Find (i) A × B
(ii) B × A
And draw the graphical representation for both
(i) A × B = {(a1, b1), (a1, b2), (a2, b1), (a2, b2), (a3, b1), (a3, b2)}
(ii) B × A = {(b1, a1), (b1, a2), (b1, a3), (b2, a1), (b2, a2), (b2, a3)}
Graphical representation of A × B:
- A: {a1, a2, a3}
- B: {b1, b2}
| A × B |
----------
| (a1, b1) |
| (a1, b2) |
| (a2, b1) |
| (a2, b2) |
| (a3, b1) |
| (a3, b2) |
Graphical representation of B × A:
- A: {a1, a2, a3}
- B: {b1, b2}
| B × A |
----------
| (b1, a1) |
| (b1, a2) |
| (b1, a3) |
| (b2, a1) |
| (b2, a2) |
| (b2, a3) |