Proposition 1.2.6: The conjugate operator

For every complex number z we have:
(1)       |z| = |conj(z)| = ||

(2)       |z|2 = z*conj(z) = z

(3)       conj(conj(z)) = = z

Context Context

Left as exercises.


Interactive Complex Analysis, ver. 1.0.0
(c) 2006-2007, Bert G. Wachsmuth
Page last modified: May 29, 2007