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If A = {1, 2, 3) and B = {m, n}, find A ...

If A = {1, 2, 3) and B = {m, n}, find `A xx B` and `B xx A`. Are these two products equal ?

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To solve the problem, we need to find the Cartesian products \( A \times B \) and \( B \times A \) for the sets \( A = \{1, 2, 3\} \) and \( B = \{m, n\} \). ### Step 1: Find \( A \times B \) The Cartesian product \( A \times B \) consists of all ordered pairs where the first element is from set \( A \) and the second element is from set \( B \). - For the element \( 1 \) in \( A \): - Pair with \( m \): \( (1, m) \) ...
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