Home
Class 12
MATHS
Construct the composition table/multipli...

Construct the composition table/multiplication table for the binary operation * defined on {0, 1, 2, 3, 4, 5} given by `a**b=ab` (mod 6). Find the identity element if any. Also, find the inverse of elements 1 and 5.

Text Solution

Verified by Experts

The correct Answer is:
5
Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    ARIHANT PRAKASHAN|Exercise Chapter Test (1 MARK Questions) |10 Videos
  • RELATIONS AND FUNCTIONS

    ARIHANT PRAKASHAN|Exercise Chapter Test (4 MARKS Questions) |7 Videos
  • RELATIONS AND FUNCTIONS

    ARIHANT PRAKASHAN|Exercise TOPIC-02 PRACTICE QUESTION (Exam., Textbook.s Other Imp. Questions) (6 MARKS Questions) |2 Videos
  • PROBABILITY

    ARIHANT PRAKASHAN|Exercise Chapter test (6 mark question)|8 Videos
  • SIMILAR TEST 3

    ARIHANT PRAKASHAN|Exercise SECTION C|14 Videos

Similar Questions

Explore conceptually related problems

Constract the composition table/multiplication table for the binary operation * defined on {0,1,2,3,4}by a**b =axxb ("mod" =5) . Find the identity element if any. Also find the inverse elements of 2 and 4.

For binary operation * defined on 8 -{1}, such that a**b=a+b-ab . Determine the identity element.

Let S =Q xx Q and let * be a binary operation on S defined by (a, b)* (c,d) = (ac, b+ad) for (a, b), (c,d) in S. Find the identity element in S and the invertible elements of S.

Discuss the commutativity and associativity of binary operation .*. defined on A = Q - {1} by the rule a**b=a-b+ab for all a, b in A . Also, find the identity element of * in A and hence find the invertible elements of A.

Consider the binary operation ** on the set {1, 2, 3, 4 5} defined by a ** b = min (a, b). Write operation table of operation ** .

Consider the binary operation * on the set {1,2,3,4,5} defined by a**b = min{a,b}. Write operation table of operation *.

Consider the binary operation ** on the set {1, 2, 3 , 4, 5} defined by a**b=min {am b} . Write the operation talbe of operation ** .

Let * is a binary operation on [0, ¥) defined as a * b = sqrt (a^(2)+b^(2)) find the identity element.

Consider the binary operation * on the set{1,2,3,4,5}defined by a*b=min(a,b). Write operation table for operation *.