Complex Conjugate (Noun)
Meaning
Either of two complex numbers whose real parts are identical and whose imaginary parts differ only in sign.
Classification
Nouns denoting quantities and units of measure.
Examples
- The complex conjugate of 3 + 4i is 3 - 4i, which is obtained by changing the sign of the imaginary part.
- Multiplying a complex number by its complex conjugate eliminates the imaginary part and results in a real number.
- The complex conjugate of a complex number z is denoted by z̄, which is read as z bar.
- The sum of a complex number and its complex conjugate is equal to twice the real part of the complex number.
- In order to simplify division of complex numbers, we multiply the numerator and denominator by the complex conjugate of the denominator.