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Cartesian Product


Let the sets THE = {1, 2, 3} and B = {3, 4}.

With the help of the adjacent arrow diagram, we will form the set of all ordered pairs in which the first element belongs to the set. THE and the 2nd belongs to the set B.

So we get the set: {(1, 3), (1, 4), (2, 3), (2, 4), (3, 3), (3, 4)}

This set is called cartesian product of THE per B, being indicated by:

Soon:

Dice two sets THE and B, nonempty, we call cartesian product THE x B the set of all ordered pairs (x, y) Where

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