Difference between revisions of "Manuals/calci/IMCONJUGATE"
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the equal magnitude and opposite sign of a imaginary number.Also | the equal magnitude and opposite sign of a imaginary number.Also | ||
− | #<math>z=\bar{ | + | #<math>z=\bar{z}</math> if imaginary number is '0' and <math>z=\bar{\bar{z}} = z</math> |
#<math>|\bar{z}|=|z|</math> and <math>|z|^2 = z.\bar{z} = \bar{z}.z</math> | #<math>|\bar{z}|=|z|</math> and <math>|z|^2 = z.\bar{z} = \bar{z}.z</math> | ||
#Real part (a)=z+z(bar)/2 | #Real part (a)=z+z(bar)/2 |
Revision as of 04:17, 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
- if imaginary number is '0' and
- and
- Real part (a)=z+z(bar)/2
- Imaginary part(b)=z-z(bar)/2i.We can use COMPLEX function to convert the real and imginary coefficients to a complex number.
Examples
=IMCONJUGATE("3+4i")=3+-4i =IMCONJUGATE("6-7i")=6+7i =IMCONJUGATE("2")=2+0i =IMCONJUGATE("8j")=0+-8j =IMCONJUGATE("5+0i")=5+0i