Question

Which of the following is the conjugate of a complex number with −1 as the real part and 3i as the imaginary part? (6 points) –1 – 3i –1 + 3i –3i + 1 3i + 1

Answer 1

Complex numbers have the form a + ib. Given a + ib, the complex conjugatet is a - ib.

Therefore, the complex conjugate of -1 + 3i is -1 - 3i.

Answer 2

`-1-3i`

Explanation:

the conjugate of a complex number with
`-1` as the real part and 3i as the imaginary part

Complex number is always a+ib form

where 'a' is the real part and ib is the complex part

The given complex number is
`-1+3i`

To get the conjugate of given complex number , we change the middle sign

Conjugate of
`a+ib` is
`a-ib`

so conjugate of
`-1+3i` is
`-1-3i`