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For the binary operation xx7 on the s...

For the binary operation `xx_7` on the set `S={1,\ 2,\ 3,\ 4,\ 5,\ 6}` , compute `3^(-1)xx_7 4` .

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Here,
`1 times_7 1=` Remainder obtained by dividing `1 times 1` by 7
`=1`
`3 times_7 4=` Remainder obtained by dividing `3 times 4` by 7
`=5`
...
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RD SHARMA-BINARY OPERATIONS-Solved Examples And Exercises
  1. Construct the composition table for xx5 on Z5={0,\ 1,\ 2,\ 3,\ 4} .

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

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

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

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

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

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

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

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

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  10. Define a binary operation on a set.

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  11. Define a commutative binary operation on a set.

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  12. Define an associative binary operation on a set.

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

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

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

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

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

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

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

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

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