1.

Find whether the following operations are binary operation or not (i) *on N defined by a * b = ab (ii) * on Z defined by a * b = ab

Answer»

(i) For a, b  N, a * b = ab is a unique natural number

* is a binary operation on N.

(ii) Let a,b  Z+, a * b = ab  Z+ 

* is a binary operation on Z+.



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