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Consider a binary operation ** on the se...

Consider a binary operation `**` on the set {1,2,3,4,5} given by the following multiplication table.
(i) Compute `(2 "*"3) "*" 4 and 2"*" (3"*" 4)`
(ii) Is `**` commutative ?
(iii) Compute `(2"*"3)"*"(4"*"5)`
(Hint: use the following table )

Answer

Step by step text solution for Consider a binary operation ** on the set {1,2,3,4,5} given by the following multiplication table. (i) Compute (2 "*"3) "*" 4 and 2"*" (3"*" 4) (ii) Is ** commutative ? (iii) Compute (2"*"3)"*"(4"*"5) (Hint: use the following table ) by MATHS experts to help you in doubts & scoring excellent marks in Class 12 exams.

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Consider a binary operation ** on the set {1,2,3,4,5} defined by a**b= H.C.F of a and b . (i) Compute (2 **3) **4 and 2 ** (3**4) (ii) Is ** commutative ? (iii) Compute (2 **3) ** (4 **5).

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Knowledge Check

  • The number of binary operations on the set {1,2,3} is

    A
    `9^(3)`
    B
    27
    C
    `3^(9)`
    D
    3!

  • The relation S={(3,3),(4,4)} on the set A={3,4,5} is

    A
    Reflexive only
    B
    Symmetric only
    C
    Not reflexive but symmetric and transitive
    D
    An equivalence relation

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