Let A = Q xxQand **be a binary operation on A defined by (a, b) **(c,d) = (ad + b, ac). Prove that **is closed on A = QxxQ . Find (i) Identity element of (A, **) , (ii) The invertible element of (A,**).

Let A = Q xxQand **be a binary operation on A defined by (a, b) **(c,d

1.	Let A = Q xxQand be a binary operation on A defined by (a, b) (c,d) = (ad + b, ac). Prove that is closed on A = QxxQ . Find (i) Identity element of (A, ) , (ii) The invertible element of (A,**).
Answer» ANSWER :IDENTITY ELEMENT of `(A,**) = (B/a,(a-b)/(a))` ; INVERSE of (a,b) `= ((a-b)/a^2,(b-ab)/a^2)`

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Let A = Q xxQand **be a binary operation on A defined by (a, b) **(c,d) = (ad + b, ac). Prove that **is closed on A = QxxQ . Find (i) Identity element of (A, **) , (ii) The invertible element of (A,**).

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Let A = Q xxQand be a binary operation on A defined by (a, b) (c,d) = (ad + b, ac). Prove that is closed on A = QxxQ . Find (i) Identity element of (A, ) , (ii) The invertible element of (A,**).