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Let A = R xx R and * be a binary operat...

Let `A = R xx R ` and * be a binary operation on A defined by : (a,b) * (c,d) = (A+c,b+d)`. Show that * is commutative and associative. Find the identity element for * on A. Also find the inverse of every element (a,b) `in`A.

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MODERN PUBLICATION-RELATIONS AND FUNCTION-EXAMPLE
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  2. Let 'X' be a non-empty set and P(X) be its power set . Let * be an ope...

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  3. Let A = R xx R and * be a binary operation on A defined by : (a,b) * ...

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  4. Let A= Q xx Q. Let'*' be a binary operation on A defined by: (a, b) * ...

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  5. Let A = Q xx Q, where Q is the set of all natural involved and * be t...

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  6. Consider the binary operation '*' on the set {1,2,3,4,5} defined by a ...

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  7. Determine whether each of the following relations are reflexive, symme...

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  8. Determine whether each of the following relations are reflexive, symme...

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  9. Determine whether each of the following relations are reflexive, symme...

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  10. Determine whether each of the following relations are reflexive, symet...

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  11. Determine whether the following relations are reflexive, symmetric an...

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  12. Determine whether the following relation is reflexive, symmetric and...

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  13. Determine whether each of the following relations are reflexive, symme...

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  14. Determine whether each of the following relations are reflexive, symme...

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  15. Determine whether each of the following relations are reflexive, symme...

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  16. Show that the relation R in the set R of real numbers defined as : R =...

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  17. Check whether the relation R defined in the set {1, 2,3,4, 5, 6} as R ...

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  18. Show that the relation R in the set R of real numbers defined as R = {...

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  19. Check whether the relation R in R, defined by R= {(a, b): a le b^3 ) i...

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  20. Show that the relation R in the set {1,2,3} given by R = {(1,2),(2,1)}...

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