Question

A binary operation on Q={o} defined by a*b=ab/6
find the identity element and the
inverse of element 9.?
?​

Answer 1

Answer:

let e be the identity element, e in Q, then for every a in Q

a*e=a and e*a=a

ae/6=a and ea/6=a

e=6 and e=6

e=6 in Q

ab/6=6

if b is the inverse then b=36/a