Conjugate of complex number Example-1

1. `A=5+6i`
Find Complex Conjugate

Solution:
Here `A=5+6i`

The conjugate of a complex number is obtained by changing the sign of its imaginary part and keeping the real part unchanged.

For a complex number `z=a+bi`, the conjugate is `bar z=a-bi`

`:.` For a complex number `A=5+6i` the conjugate is `bar A=5-6i`

2. `A=-2+3i`
Find Complex Conjugate

Solution:
Here `A=-2+3i`

The conjugate of a complex number is obtained by changing the sign of its imaginary part and keeping the real part unchanged.

For a complex number `z=a+bi`, the conjugate is `bar z=a-bi`

`:.` For a complex number `A=-2+3i` the conjugate is `bar A=-2-3i`

3. `A=1-3i`
Find Complex Conjugate

Solution:
Here `A=1-3i`

The conjugate of a complex number is obtained by changing the sign of its imaginary part and keeping the real part unchanged.

For a complex number `z=a+bi`, the conjugate is `bar z=a-bi`

`:.` For a complex number `A=1-3i` the conjugate is `bar A=1+3i`

This material is intended as a summary. Use your textbook for detail explanation.
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