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  • If A = {–1, 1}, find A × A × A.

Q5  If A = {–1, 1}, find A \times A \times A

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best_answer

It is given that
A = {–1, 1}
A is an non-empty set 
Therefore,
Lets first find A \times A
A \times A = \left \{ -1,1 \right \} \times \left \{ -1,1 \right \} = \left \{ (-1,-1),(-1,1),(1,-1),(1,1) \right \}
Now,
A\times A \times A=A\times (A \times A) = \left \{ -1,1 \right \} \times \left \{ (-1,-1),(-1,1),(1,-1),(1,1) \right \}=\left \{ (-1,-1,-1),(-1,-1,1),(-1,1,-1),(-1,1,1),(1,-1,-1),(1,-1,1),(1,1,-1),(1,1,1) \right \}

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Gautam harsolia

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