Difference between revisions of "Manuals/calci/IMCONJUGATE"

From ZCubes Wiki
Jump to navigation Jump to search
Line 17: Line 17:
 
|- class="even"
 
|- class="even"
 
!Equation  
 
!Equation  
| a
+
! a
| bi
+
! bi
| Result
+
! Result
| SUM
+
! Result
 
|- class="odd"
 
|- class="odd"
 
|=IMCONJUGATE("3+4i")
 
|=IMCONJUGATE("3+4i")

Revision as of 04:55, 25 November 2013

IMCONJUGATE(z)


  • where is the complex number.

Description

  • This function gives the conjugate of a complex number.
  • The complex number , then and it is denoted by or .
  • So complex number and complex conjugate both also having same real number and imaginary number with

the equal magnitude and opposite sign of a imaginary number.Also

  1. if imaginary number is '0' and
  2. and
  3. Real part (a)=z+z(bar)/2
  4. Imaginary part(b)=z-z(bar)/2i.We can use COMPLEX function to convert the real and imginary coefficients to a complex number.

Examples

Equation a bi Result Result
=IMCONJUGATE("3+4i") 3 4i 3+4i 3-4i
=IMCONJUGATE("6-7i") 6 -7i 6+7i
=IMCONJUGATE("8j") 0 8j 0+8j 0-8j
=IMCONJUGATE("2") 2 0 2+0i
=IMCONJUGATE("5+0i") 5 0i 5+0i

See Also

References

Exponential function