Site icon Noon Academy

Let be the set of four 4 th roots of unity. Prepare the composition table for multiplication on and show that (iii) multiplication is commutative on A, (iv) 1 is the multiplicative identity,

For commutative,

, so is commutative for multiplication.

For multiplicative identity element e, ax e =ex a = a where a .

either or as hence

So, multiplicative identity element