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

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.

Answer

Step by step text solution for 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. by MATHS experts to help you in doubts & scoring excellent marks in Class 12 exams.

Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    ARIHANT PRAKASHAN|Exercise TOPIC-02 (TOPIC TEST 2) |8 Videos

  • RELATIONS AND FUNCTIONS

    ARIHANT PRAKASHAN|Exercise Chapter Test (1 MARK Questions) |10 Videos

  • RELATIONS AND FUNCTIONS

    ARIHANT PRAKASHAN|Exercise TOPIC-02 PRACTICE QUESTION (Exam., Textbook.s Other Imp. Questions) (4 MARKS Questions) |5 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

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.

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

Let * is a binary operation on Z defined as a * b = a + b - 5 find the identity element for * on z .

Let be a binary operation defined by a*b = 7a+9b. Find 3*4.

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

Let ** be a binary operation defined by a^(**)b=7a+9b , find 3^(**)4 .

Find the identity elements if any for the binary operations defined by a**b=a+b+1,a,b inZ .

Find the identity elements if any for the binary operations defined by a**b=a+b+ab,a,b inQ-{-1} .

Home
Profile