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Let A = N × N and * be the binary operation on A defined by ( a , b ) * ( c , d ) = ( a + c , b + d ) Show that * is commutative and associative. Find the identity element for * on A, if any.

Answer» Let A = N × N and * be the binary operation on A defined by ( a , b ) * ( c , d ) = ( a + c , b + d ) Show that * is commutative and associative. Find the identity element for * on A, if any.


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