Complex conjugate calculator : How to use it?
The online conjugate calculator returns the conjugate of a complex number.
Syntax :
complex_conjugate(z), z is a complex number.
Examples :
complex_conjugate(`1+i`), returns 1-i
Complex number conjugate calculator
Writing z = a + ib where a and b are real is called algebraic form of a complex number z :
- a is the real part of z;
- b is the imaginary part of z.
When b=0, z is real, when a=0, we say that z is pure imaginary.
The conjugate of a complex number `a+i⋅b`, where a and b are reals, is the complex number `a−i⋅b`.
For calculating conjugate of the complex number following z=3+i, enter complex_conjugate(`3+i`) or directly 3+i, if the complex_conjugate button already appears, the result 3-i is returned.
The complex numbers calculator can also determine the conjugate of a complex expression. To calculate the conjugate of the following complex expression z=`(1+i)/(1-i)`, enter complex_conjugate(`(1+i)/(1-i)`) or directly (1+i)/(1-i), if the button complex_conjugate already appears, the result -i is returned.
With this function, the calculator allows the online calculation of the conjugate of a complex number.
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