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

Respuesta :

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:

[tex]-1-3i[/tex]

Step-by-step explanation:

the conjugate of a complex number with [tex]-1[/tex] 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 [tex]-1+3i[/tex]

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

Conjugate of [tex]a+ib[/tex] is [tex]a-ib[/tex]

so conjugate of [tex]-1+3i[/tex] is [tex]-1-3i[/tex]