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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 )

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KUMAR PRAKASHAN-RELATIONS AND FUNCTIONS -EXERCISE 1.4
  1. Consider a binary operation ** on the set {1,2,3,4,5} given by the fol...

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  2. Let ** be the binary operation on the set {1,2,3,4,5} defined a"*" b =...

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  3. Let ** be the binary operation on N given by a**b = L.C.M. of a and b...

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  4. Let ** be the binary operation on N given by a**b = L.C.M. of a and b...

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  5. Let ** be the binary operation on N given by a**b = L.C.M. of a and b...

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  6. Let ** be the binary operation on N given by a**b = L.C.M. of a and b...

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  7. Let ** be the binary operation on N given by a**b = L.C.M. of a and b...

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  8. Is ** defined on the set {1,2,3,4,5} by a"*"b = L.C.M. of a and b a bi...

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  9. Let ** be the binary operation on N defined by a"*"b = H.C.F of a and ...

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  10. Let ** be a binary operation on the set Q of rational numbers as follo...

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  11. Let ** be a binary operation on the set Q of rational numbers as follo...

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  12. Let ** be a binary operation on the set Q of rational numbers as follo...

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  13. Let ** be a binary operation on the set Q of rational numbers as follo...

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  14. Let ** be a binary operation on the set Q of rational numbers as follo...

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  15. Let ** be a binary operation on the set Q of rational numbers as follo...

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  16. Find which of the operations given above has identity. a"*"b=a-b

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  17. Find which of the operations given above has identity. a"*"b=a^(2)+b...

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  18. For which values of p does the pair of equations given below has uniqu...

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  19. Find which of the operations given above has identity. a"*"b=(a-b)^2

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  20. Find which of the operations given above has identity. a"*"b=(ab)/4

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