Question

       CLASS TEST -
2. Let *be a binary operation on the set Q of rational numbers by a*b = ab/3.
i) check whether * is commutative and associative.               
ii) find the identity element of * on Q.    
iii) find the inverse of the element 1/2 under * on Q.                        
3) Let A = N X N , where N is the set of natural numbers and * be a binary operation on A defined by (a,b)*(c,d) =(ac+bd, ad+bc). Show that * is commutative on A.
Find (2,3) * (4,1)      ​

Answer 1

Answer:

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Step-by-step explanation:

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