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Define a commutative binary operation...

Define a commutative binary operation on a set.

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Define a binary operation on a set.

Define an associative binary operation on a set.

Let A be a non-empty set and S be the set of all functions from A to itself. Prove that the composition of functions 'o' is a non-commutative binary operation on Sdot Also, prove that 'o' is an associative binary operation on Sdot

The number of commutative binary operations that can be defined on a set of 2 elements is

Discuss the commutativity of the binary operation * on R defined by a*b=a^2 b for all a,b in Rdot

Show that + : R xx R ->R and xx : R xx R ->R are commutative binary operations, but - : RxxR ->R and -: : R_ *xxR_* ->R_* are not commutative.

Determine whether or not the definition of * On R , define by a*b=a b^2 gives a binary operation. In the event that * is not a binary operation give justification of this. Here, Z^+ denotes the set of all non-negative integers.

Determine whether or not the definition of * On Z^+ , define * by a*b=a gives a binary operation. In the event that * is not a binary operation give justification of this. Here, Z^+ denotes the set of all non-negative integers.

On the set Q of all rational numbers an operation * is defined by a*b = 1 + ab . Show that * is a binary operation on Q.

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RD SHARMA ENGLISH-BINARY OPERATIONS-All Questions
  1. On the set Z of all integers a binary operation ** is defined by a**...

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  2. Define a binary operation on a set.

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  3. Define a commutative binary operation on a set.

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  4. Define an associative binary operation on a set.

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  5. Write the total number of binary operations on a set consisting of ...

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  6. Write the identity element for the binary operation * defined on the...

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  7. Let * be a binary operation, on the set of all non-zero real number...

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

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

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

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

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

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

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

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

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

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

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

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

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

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