Cartesian Product

(декартово произвдение)

Given sets and , the cartesian product of and , denoted and read as ” cross ” is the set of all ordered pairs , where and .

Examples:

The number of pairs is derived from multiplying the cardinality of the sets ().

Cartesian Plane (декартова равнина) To find all the points on the cartesian plane, do the cartesian product of .

Properties

• Distributive: or

The cartesian product of two sets is also a relation.