Complex Conjugate

Definition : Let a+bi be a complex number, its complex conjugate is a-bi.

The conjugate of a complex number is created simply by multiplying the imaginary term by-1. The conjugate can be used to find the magnitude of its complex number by multiplying them together. For example, the conjugate of 5-3i is 5+3i. By multiplying (5-3i)(5+3i) = 25+9=34 which is the magnitude of 5+3i. If z is a complex number its conjugate is represented as \bar{z}.

LaTex code : \bar{z}

See Also : Imaginary Numbers, Complex Numbers, Real Part, Imaginary Part

Sharing the Wonder