College Algebra Complex Numbers Operations with Complex Numbers
Conjugate Complex Numbers
   Interactive Example 1

Definition 
.
Let z = x + iy . Then the complex conjugate of z, denoted , is defined as .

Note, that

Graphical Representation of the Conjugate of a Complex Number
The number is represented by the point (vector), which is the reflection in the real axis of the point (vector) representing z.

Use scrollbars to move z and watch its position in the plane and position of the conjugate of z.

 

x    
y    

z =  
  =  


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