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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 * is commutative and associative. Find the binary element for * on A, if any.

Answer» Let A=R×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 binary element for * on A, if any.


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