Let S-Z -Z-0 and the binary operation - is defined as a- b -c- d-a d-b c- b d for all a- b- c- d - Z- The identity element of of S for the binary operation - on S is

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Identity in Binary Operation

Let S=Z ×Z-0 ...

Question

Let S = Z x (Z - {0}) and the binary operation * is defined as (a , b) * (c ,d) = (ad + bc , bd) for all a,b,c,d ϵZ. The identity element of of S for the binary operation * on S is __

(b,a)

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(1, 0)

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(a,b)

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(0,1)

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Solution

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A = Z \times Z

(2, 5) * (3, 4)

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