Let (A = {1, 2}) and (B = {3, 4}). Find the Cartesian product of these two sets ((A times B)).

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Step:1 ：The Cartesian product of two sets (A) and (B), denoted by (A times B), is the set of all ordered pairs ((a, b)) such that (a) is in (A) and (b) is in (B).Step:2 ：So, for (A = {1, 2}) and (B = {3, 4}), we have to find all possible ordered pairs ((a, b)), where (a) is an element from (A) and (b) is an element from (B).Step:3 ：We can write these ordered pairs as follows: ((1, 3), (1, 4), (2, 3), (2, 4)).

Answer

Step: 1 ：The Cartesian product of two sets (A) and (B), denoted by (A times B), is the set of all ordered pairs ((a, b)) such that (a) is in (A) and (b) is in (B).Step: 2 ：So, for (A = {1, 2}) and (B = {3, 4}), we have to find all possible ordered pairs ((a, b)), where (a) is an element from (A) and (b) is an element from (B).Step: 3 ：We can write these ordered pairs as follows: ((1, 3), (1, 4), (2, 3), (2, 4)).

Let \(A = \{1, 2\}\) and \(B = \{3, 4\}\). Find the Cartesian product of these two sets (\(A \times B\)).

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