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Let A=NxNa n d^(prime)*' be a binaryoper...

Let `A=NxNa n d^(prime)*'` be a binaryoperation on A defined by `(a , b)*(C , d)=(a c , b d)` for all `a , b , c , d , in Ndot` Show that `'*'` is commutative and associative binary operation on A.

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