The Complex Conjugate

The complex conjugate of a complex numberis writtenand is obtained fromby changing the sign of the imaginary part of


On an Argand diagram the complex conjugate ofis obtained by reflecting the pointin the real axis.

The complex conjugate has several important properties which are inhertied by the sum, product, difference and quotient of complex numbers in a natural way.

If we have the polar form of a ciomplex number,then

In general, all we have to do to obtain the complex conjugate of a complex number is to change intowherever it occurs, however the number is expressed.