Cartesian product

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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 pages[change | change source]

References[change | change source]

  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.