how do i show that 3+2i; 3-2i/13 is multiplicative inverse of one another
Multiply them together and see if you get 1, the multiplicative identity,
for an answer.
If you get 1, then they are multiplicative inverses of each other.
If you get something other than 1 then they are not.
Put the first one over 1:
Multiply the tops and the bottoms:
FOIL out the top:
Since
replace
by
We got 1, the multiplicative identity so that proves
that they are multiplicative inverses of each other.
Edwin