By:
Neil E. Cotter
Complex Analysis
Basic math
Conjugate
Definition
Def:
Complex Conjugate of
a
+
jb
a
−
jb
complex number with imaginary part inverted
Not'n:
z
*
complex conjugate of
z
Tool:
To find the complex conjugate of an expression, change each
j
to −
j
.
Note:
This is equivalent to (but easier than) converting the expression to form
a
+
jb
and changing it to
a
−
jb
.
Tool:
when
A
is real
Tool:
To find
z
*, reflect
z
around the real axis. In other words, preserve the magnitude but take the negative of the phase angle.