Complex Conjugates and Moduli
Why
How do the modulus and conjugate of a complex number relate?
Results
Recall that $z = x + iy$ means that
$\Cconj{z} = x - iy$ and so
\[
z\bar{z} = (x + iy)(x - iy) = x^2 + y^2 = \Cmod{z}^2.
\]
How do the modulus and conjugate of a complex number relate?
Recall that $z = x + iy$ means that
$\Cconj{z} = x - iy$ and so
\[
z\bar{z} = (x + iy)(x - iy) = x^2 + y^2 = \Cmod{z}^2.
\]