Modulus and Conjugate of a Complex Number

Modulus and Conjugate of a Complex Number

Modulus and Conjugate of a Complex Number 150 150 SchoolTutoring Academy

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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