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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 ?

Text Solution

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`A xx B = {(1, m), (1, n), (2, n), (3, m), (3, n)}`
`B xx A = {(m, 1), (m, 2), (m, 3), (n, 1), (n, 2), (n, 3)}`
Since, (1, m) is not equal to (m, 1), we conclude that `A xx B != B xx A`.
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