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Define identity element for a binary operation defined on a set.

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An element `e` is called an identity element in `A` with respect to * if and only if `a*e=e*a=a forall a in A`
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RD SHARMA-BINARY OPERATIONS-Solved Examples And Exercises
  1. Let * be a binary operation, on the set of all non-zero real number...

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  2. Write the inverse of 5 under multiplication modulo 11 on the set {1...

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  3. Define identity element for a binary operation defined on a set.

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  4. Write the composition table for the binary operation multiplication...

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  5. Write the composition table for the binary operation multiplication ...

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  6. For the binary operation multiplication modulo 5\ (xx5) defined on ...

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  7. Write the composition table for the binary operation xx5 (multiplic...

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  8. A binary operation * is defined on the set R of all real numbers by...

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  9. Let +6 (addition modulo 6) be a binary operation on S={0,\ 1,\ 2,\ ...

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  10. Let * be a binary operation defined by a*b=3a+4b-2 . Find 4*5.

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  11. If the binary operation * on the set Z of integers is defined by...

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  12. Let * be a binary operation on N given by a*b=H C F\ (a ,\ b),\ \ a...

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  13. Let * be a binary operation on set of integers I , defined by a*b=2...

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  14. If a*b=a^2+b^2, then the value of (4*5)*3 is a*b=a^2+b^2, then the val...

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  15. If a*b denote the bigger among a and b and if a b=(a**b)+3 , then 4...

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  16. If the binary operation * on Z is defined by a*b=a^2-b^2+a b+4 , then ...

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  17. For the binary operation * on Z defined by a ast b=a+b+1 the identit...

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  18. If a binary operation * is defined on the set Z of integers as a ast...

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  19. Q^+ denote the set of all positive rational numbers. If the binary ope...

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  20. If G is the set of all matrices of the form [xxxx] , where x in R-...

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