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Let A=QxxQ and let * be a binary oper...

Let `A=QxxQ` and let * be a binary operation on `A` defined by `(a ,\ b)*(c ,\ d)=(a c ,\ b+a d)` for `(a ,\ b),\ (c ,\ d) in A` . Then, with respect to * on `Adot` Find the invertible elements of `A` .

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The correct Answer is:
Not commutative but associative (i) (1,0) (ii) `((1)/(a),(-b)/(a))`.
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