Define a binary operation *on the set {0, 1, 2, 3, 4, 5} as a*b={​a+b​ if a+b less than 6 ; a+b-6, if a+b≥6. Show that zero is the identity for this operation and each element a ≠ 0 of the set is invertible with 6 – a being the inverse of a.