Define a binary operation * on the set `A={0,1,2,3,4,5}` as `a*b=a+b` (mod 6). Show that zero is the identity for this operation and each element `a` of the set is invertible with `6-a` being the inverse of `adot` OR A binary operation * on the set `{0,1,2,3,4,5}` is defined as `a*b={a+b ,ifa+b<6a+b-6,ifa+bgeq6` Show that zero is the identity for this operation and each element a of set is invertible with `6-a ,` being the inverse of a.