Theory
Multiplicative inverse
For z = a + bi (non-zero):
TEXT
z^{-1} = 1/z = (a-bi)/(a^2+b^2)
Why this works
Multiply numerator and denominator by the conjugate a - bi.
For z = a + bi (non-zero):
z^{-1} = 1/z = (a-bi)/(a^2+b^2)
Multiply numerator and denominator by the conjugate a - bi.