Question #58296

The Cartesian product (A x B) of the sets A and B is the set of

Expert's answer

Answer on Question #58296 – Math – Discrete Mathematics

Question

The Cartesian product (A×B)(A \times B) of the sets AA and BB is the set of ...

Solution

The Cartesian product A×BA \times B is the set of all ordered pairs (a,b)(a, b) where aAa \in A and bBb \in B. It can be specified using set-builder notation, e.g.


A×B={(a,b)aA and bB}.A \times B = \{(a, b) \mid a \in A \text{ and } b \in B\}.


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