Cartesian product

set of the ordered pairs such that the first element of the pair is in the first element of the product and the second element of the pair is in the second element of the product

In mathematics, sets can be used to make new sets. Given two sets A and B, the Cartesian product of A with B is written as A × B,[1] and is the set of all ordered pairs whose first element is a member of A, and whose second element is a member of B.[2]

For example, let A = {1, 2, 3} and B = {a, b}. Then:

The set of a Cartesian product can be visualized as a two-dimensional table, with its entry being its elements.[3]

Related pagesEdit

ReferencesEdit

  1. "Comprehensive List of Set Theory Symbols". Math Vault. 2020-04-11. Retrieved 2020-09-05.
  2. Weisstein, Eric W. "Cartesian Product". mathworld.wolfram.com. Retrieved 2020-09-05.
  3. "Cartesian Product". web.mnstate.edu. Retrieved 2020-09-05.