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Prove that the operation * on the set...

Prove that the operation * on the set `M={[a0 0b]: a ,\ b in R-{0}}` defined by `A*B=A B` is a binary operation.

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RD SHARMA ENGLISH-BINARY OPERATIONS-All Questions
  1. Let S={a ,\ b ,\ c} . Find the total number of binary operations on...

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  2. Find the total number of binary operations on {a ,\ b} .

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  3. Prove that the operation * on the set M={[a0 0b]: a ,\ b in R-{0}}...

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  4. Let S be the set of all rational numbers of the form m/n , where m ...

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  5. The binary operation**: RxxR->R is defined as a**b=2a+b. Find (2**3)**...

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  6. Let * be a binary operation of N given by a a*b=L C M\ (a , b) for all...

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  7. Let * be a binary operation on Q-{0} defined by a*b=(a b)/2 for all...

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  8. Let A be a set having more than one element. Let * be a binary opera...

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  9. If the operation * is defined on the set Q - {0} of all rational num...

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  10. Examine whether the binary operation ** defined on R by a**b=a b+1 i...

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  11. Let A be a set having more than one element. Let * be a binary opera...

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  12. Discuss the commutativity of the binary operation * on R defined by ...

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  13. Discuss the commutativity of the binary operation * on R defined by ...

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  14. Discuss the commutativity and associativity of binary operation * d...

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

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  16. Let * be a binary operation on N given by a*b=2a+3b for all a ,\ b i...

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  17. Let ** be the binary operation on N defined by a" "**" "b" "=" "Hd...

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  18. Consider the binary operations*: RxxR->R and o: RxxR->R defined as a...

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  19. Let A be a non-empty set and S be the set of all functions from A t...

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  20. Let A=NxNa n d^(prime)*' be a binaryoperation on A defined by (a , b)*...

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