Cartesian Product Of Sets
Posted by
Ravi Kumar at Monday, February 22, 2010
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Cartesian Product:
Let A and B be any two sets. Then the Cartesian product of A and B is the set of all ordered pairs of the form (a, b), where aЄA and bЄB
The product is denoted by A×B
A×B = {(a, b)/ aЄA, bЄB }
Example
A = {a, b, c} and B={1,2}, then
A×B = {(a, 1), (b, 1), (c, 1), (a, 2), (b, 2), (c, 2)}
B×A = {(1, a), (2, a), (1, b), (2, b), (1, c), (2, c)}