Home
Class 12
MATHS
Construct the composition table for x...

Construct the composition table for `xx_5` on `Z_5={0,\ 1,\ 2,\ 3,\ 4}` .

Text Solution

Verified by Experts

`\ xx_5 \ \ \ \ \ 0 \ \ \ \ \ \ 1 \ \ \ \ \ \ 2 \ \ \ \ \ \ 3 \ \ \ \ \ \ 4`
`\ \ \ \ \ 0 \ \ \ \ \ \ 0 \ \ \ \ \ \ 0 \ \ \ \ \ \ 0 \ \ \ \ \ \ 0 \ \ \ \ \ \ 0`
`\ \ \ \ \ 1 \ \ \ \ \ \ 0 \ \ \ \ \ \ 1 \ \ \ \ \ \ 2 \ \ \ \ \ \ 3 \ \ \ \ \ \ 4`
`\ \ \ \ \ 2 \ \ \ \ \ \ 0 \ \ \ \ \ \ 2 \ \ \ \ \ \ 4 \ \ \ \ \ \ 1 \ \ \ \ \ \ 3`
...
Promotional Banner

Topper's Solved these Questions

  • ARITHMETIC PROGRESSION

    RD SHARMA|Exercise EXAMPLE|5 Videos
  • BINOMIAL DISTRIBUTION

    RD SHARMA|Exercise Solved Examples And Exercises|141 Videos

Similar Questions

Explore conceptually related problems

Construct the composition table for xx_6 on set S={0,\ 1,\ 2,\ 3,\ 4,\ 5} .

Construct the composition table for xx_(4) on set S={0,1,2,3}.

Construct the composition table for +5 on set S={0,1,2,3,4}

Construct the composition table for the composition of functions (o) defined on the S={f_1,\ f_2,\ f_3,\ f_4} of four functions from C (the set of all complex numbers) to itself, defined by f_1(z)=z ,\ \ f_2(z)=-z ,\ \ f_3(z)=1/z ,\ \ f_4(z)=-1/z for all z in Cdot

Consider the set S={1,2,3,4}. Define a binary operation * on S as follows: a*b=r, where r is the least non-negative remainder when ab is divided by 5. construct the composition table for * on S.

Write the composition table for the binary operation xx5 (multiplication modulo 5) on the set S={0,1,2,3,4}.

Consider the infimum binary operation ^^ on the set S={1,2,3,4,5} defined by a^^b= Minimum of aandb .Write the composition table of the operation ^^ .

Construct Caley's table for the set {0,1,2,3,4} under multiplication modulo 6.

Construct a frequency table for the following: 3,2,5,4,1,3,2,2,5,3,1,2,1,1,2,2,3,4,5,3,1,2,3.

RD SHARMA-BINARY OPERATIONS-Solved Examples And Exercises
  1. Construct the composition table for +5 on set S={0,\ 1,\ 2,\ 3,\ 4}...

    Text Solution

    |

  2. Construct the composition table for xx6 on set S={0,\ 1,\ 2,\ 3,\ 4...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  12. Define a binary operation on a set.

    Text Solution

    |

  13. Define a commutative binary operation on a set.

    Text Solution

    |

  14. Define an associative binary operation on a set.

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |