Their are two important data points to calculate, based on complex numbers. They are the Modulus and Conjugate.
Modulus of a complex number:
The modulus of a complex number z=a+ib is denoted by |z| and is defined as .
Example:
Find the modulus of z =4 – 3i.
Solution:
Properties of conjugate:
(i) |z|=0 z=0
(ii) |-z|=|z|
(iii) |z1 * z2|= |z1| * |z2|
Conjugate of a complex number:
The conjugate of a complex number z=a+ib is denoted by and is defined as .
Properties of conjugate:
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