Set Theory - Cross Product (Cartesian product)

About

The cartesian product is a set operator between two set A and B that produces a set of all pairs (a, b) where:

• <math>a \in A</math> (ie a in A)
• and <math>b \in B</math> (ie b in B)

Articles Related

Notation

<MATH>\Large A \times B</MATH>

Example

A = {1, 2} 
B = {a, b}
A x B = {(1,a), (1,b), ((1,c), (2,a), (2,b), (2,c)}