# Cartesian product

Keywords: sets, cartesian product, cartesian square

## Cartesian product

The Cartesian Product of two sets A and B is the set of all Ordered Pairs (a,b)  where the first element of order pairs a belongs to first set A and second element of ordered pairs b belongs to second set B.

Example:

## Cartesian square

The Cartesian squere of set A is the set of all Ordered Pairs (a,b)  where both elements of order pairs belongs to first set A.

Example:$A=\left\{1,3,6\right\}⇒AxA=\left\{\left(1,1\right),\left(1,3\right),\left(1,6\right),\left(3,1\right),\left(3,3\right),\left(3,6\right),\left(6,1\right),\left(6,3\right),\left(6,6\right)\right\}$