Finding the Inverse of Complex Numbers

Here is the property for taking the inverse of a complex number. Take $ {1\over(a + bi)} $ and multiply by $ {(a - bi)\over(a - bi)} $.

This will also separate the complex number into a real part and an imaginary part.

$ {(a + bi)^{-1}}={1\over(a + bi)} = {a\over a^2 + b^2}+ \left( {-b\over a^2 + b^2}\right)i $

Wikipedia(Complex Numbers)

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Basic linear algebra uncovers and clarifies very important geometry and algebra.

Dr. Paul Garrett