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For the binary operation xx(10) on se...

For the binary operation `xx_(10)` on set `S={1,\ 3,\ 7,\ 9}` , find the inverse of 3.

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`\ xx_10 \ \ \ \ \ 1 \ \ \ \ \ \ 3 \ \ \ \ \ \ 7 \ \ \ \ \ \ 9`
`\ \ \ \ \ 1 \ \ \ \ \ \ 1 \ \ \ \ \ \ 3 \ \ \ \ \ \ 7 \ \ \ \ \ \ 9`
`\ \ \ \ \ 3 \ \ \ \ \ \ 3 \ \ \ \ \ \ 9 \ \ \ \ \ \ 1 \ \ \ \ \ \ 7`
`\ \ \ \ \ 7 \ \ \ \ \ \ 7 \ \ \ \ \ \ 1 \ \ \ \ \ \ 9 \ \ \ \ \ \ 3`
...
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RD SHARMA-BINARY OPERATIONS-Solved Examples And Exercises
  1. Construct the composition table for xx6 on set S={0,\ 1,\ 2,\ 3,\ 4...

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  2. Construct the composition table for xx5 on Z5={0,\ 1,\ 2,\ 3,\ 4} .

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  3. For the binary operation xx(10) on set S={1,\ 3,\ 7,\ 9} , find the...

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  4. For the binary operation xx7 on the set S={1,\ 2,\ 3,\ 4,\ 5,\ 6} ,...

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  5. Find the inverse of 5 under multiplication modulo 11 on Z(11) .

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  6. Write the multiplication table for the set of integers modulo 5.

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  7. Consider the binary operation * and o defined by the following t...

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  8. Define a binary operation * on the set A={0,1,2,3,4,5} as a*b=a+b (mod...

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  9. Write the identity element for the binary operations * on the set R...

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  10. On the set Z of all integers a binary operation * is defined by a*b...

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  11. Define a binary operation on a set.

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  12. Define a commutative binary operation on a set.

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  13. Define an associative binary operation on a set.

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

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  15. Write the identity element for the binary operation * defined on th...

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

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

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

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

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

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