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Let A=R×R and ∗ be a binary operation on A defined by (a,b)∗(c,d)=(a+c,b+d). Show that ∗ on A. Also, find the inverse of every element (a,b)∈A.

Answer» Let A=R×R and be a binary operation on A defined by (a,b)(c,d)=(a+c,b+d). Show that on A. Also, find the inverse of every element (a,b)A.


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