By: Neil E. Cotter

Complex Analysis

 

 

Basic math

 

 

Conjugate

 

 

Definition

 
 
 

 

Def:         Complex Conjugate of a + jb a − jbcomplex 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.