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Check the commutativity of * on N define...

Check the commutativity of * on `N` defined by `a*b=2^(a b)` for all `a ,\ b in N` .

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RD SHARMA ENGLISH-BINARY OPERATIONS-All Questions
  1. Let A be any set containing more than one element. Let * be a binary...

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  2. Check the commutativity of * on Z defined by a*b=a+b+a b for all a ,\ ...

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  3. Check the commutativity of * on N defined by a*b=2^(a b) for all a ,\ ...

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  4. Check the commutativity of * on Q defined by a*b=a-b for all a ,\ b in...

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  5. Check the commutativity of O on Q defined by a\ \ b=a^2+b^2 for all a ...

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  6. Check the commutativity and associativity of * on Q defined by a * ...

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  7. Check the commutativity of * on Q defined by a*b=a b^2 for all a ,\ b ...

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  8. Check the commutativity of * on Q defined by a*b=a+a b for all a ,\ b ...

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  9. Check the commutativity and associativity of * on R defined by a*b=...

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  10. Check the commutativity of * on Q defined by a*b=(a-b)^2 for all a ,\ ...

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  11. Check the commutativity and associativity of * on Q defined by a*b=...

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  12. Let *, be a binary operation on N, the set of natural numbers defined ...

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  13. Check the commutativity and associativity of * on Z defined by a*b=a...

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  14. Check the commutativity and associativity of * on Q defined bya*b= (...

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  15. Check the commutativity and associativity of * on Z defined bya*b= a...

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  16. Check the commutativity and associativity of * on N defined by a*b=g...

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  17. Let S be the set of all rational number except 1 and * be defined ...

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  18. Show that the binary operation * on Z defined by a*b=3a+7b is not co...

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  19. On the set Z of integers a binary operation * is defined by a*b=a b+...

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  20. Q, the set of all rational number, * is defined by a*b=(a-b)/2 , show ...

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