Find the multiplicative inverse of 2 – 3i.

Let z = 2 - 3i

Then z̄ = 2 + 3i and |z|² = 2² + (-3)² = 13

Therefore, the multiplicative inverse of 2 - 3i is given by

z^-1 = ^z̄/_|z|² = 2 + 3i/13 = 2/13  + 3/13i