Consider a Mobius transformation

$\displaystyle z \mapsto w =\frac{az + b}{cz + d}$

Determine the constants a, b, c, and d, (all $\displaystyle \epsilon \mathbb{C}$), such that the

transformation maps

0$\displaystyle \rightarrow$ i, −i $\displaystyle \rightarrow$ 1, and −1 $\displaystyle \rightarrow$ 0.

How would I work this out?