Home
Class 12
MATHS
Show that (Z7-{[0]],.7) write to the bin...

Show that `(Z_7-{[0]],.7)` write to the binary operation multification module7 satisfies closure, associative, identify and inverse properties.

Promotional Banner

Topper's Solved these Questions

  • DISCRETE MATHEMATICS

    FULL MARKS|Exercise EXERCISE (12.3)|20 Videos
  • DIFFERENTIALS AND PARTIAL DERIVATIVES

    FULL MARKS|Exercise Additional Questions Solved|29 Videos
  • INVERSE TRIGONOMETRIC FUNCTIONS

    FULL MARKS|Exercise EXERCISE -4.6|20 Videos

Similar Questions

Explore conceptually related problems

Show that the set G={a+bsqrt2//a,binQ} is an infinite abelian group with respect to Binary operation addition. Satisfies closure, associative, identity and inverse properties.

Show that the set {[1].[3],[4],[5],[9]}under multiplication modulo 11 satisfies closure, associative, identity and inverse properties.

Show that the set G of all rational numbers except -1 satisfies closure, associative, identify and inverse property with respect to the operation ** given by a**b=a+b+ab for all a, b in G .

Let M={[{:(,x,x),(,x,x):}}: x in R-{0}} and let * be the matrix multiplication. Determine whether M is closed under *. If so, examine the existence of identify, existence of inverse properties for the operation * on M.

Show that the equation 3x^2-x+7=0 can not be satisfied by any real values of x.

In each of the find the equations of the hyperbola satisfying the given conditions. Vertices (+-7,0) , e=(4)/(3) .

Verify (i) closure property (ii) commutative property (iii) associative property (iv) existence of identity and (v) existence of inverse for the operation xx_(11) on a subset A = {1,3,4,5,9} of the set of remainders {0,1,2,3,4,5,6,7,8,9,10}.

The operation ** defined by a ** b =(ab)/7 is not a binary operation on

Verify (i) closure property (ii) commutative property (iii) associative property (iv) existence of identity and (v) existence of inverse for the operation +_(5) on ZZ_5 using table corresponding to addition modulo 5.

FULL MARKS-DISCRETE MATHEMATICS-Additional Question Solved
  1. In the multiplicative group of cube root of unity the order of omega i...

    Text Solution

    |

  2. Show that (Z7-{[0]],.7) write to the binary operation multification mo...

    Text Solution

    |

  3. In the multiplicative group of cube root of unity the order of 1 is….....

    Text Solution

    |

  4. In the multiplicative group of cube root of unity the order of group i...

    Text Solution

    |

  5. Show that the set {[1].[3],[4],[5],[9]}under multiplication modulo 11 ...

    Text Solution

    |

  6. Show that [ not p vv not q] vv p is a tautology.

    Text Solution

    |

  7. Show that [not q ^^ p] ^^ q is a contradiction.

    Text Solution

    |

  8. Show that not(p^^q)equiv((notp)vv(notq))

    Text Solution

    |

  9. Show that not(p^^q)equiv((notp)vv(notq))

    Text Solution

    |

  10. Which of the following are statement ? (i) May God bless you (ii) Ro...

    Text Solution

    |

  11. If a compound statement involves 3 simple statements, then the number ...

    Text Solution

    |

  12. If truth value of p is T and q is F then which of the following are ha...

    Text Solution

    |

  13. The number of row in the truth of ~[p^^(~q)] is…....

    Text Solution

    |

  14. Which condictional statement p to q is equivalent to :

    Text Solution

    |

  15. Which of the following is a tautology ?

    Text Solution

    |

  16. In the set of integers with operation ** defined by a**b=a+b-ab, the ...

    Text Solution

    |

  17. In the multiplicative group of cube root of unity the order of omega^2...

    Text Solution

    |

  18. The value of 11[5]+11[6] is…....

    Text Solution

    |

  19. In the set of real number R, an operation ** is defined by a**b=sqrt(a...

    Text Solution

    |

  20. The order of -i in the multiplicative group of 4th roots of unity is ...

    Text Solution

    |