Equivalent and Multiplicative inverse of Complex Numbers

What is the additive inverse of 3 - 2i?

• 2i + 3

• -2i - 3

• -3 + 2i

• 3 + 2i

The additive inverse of 5 + 3i is -5 -3i

• False, the real part should be '5'.

• False, the imaginary part should be '+3'.

• True, the sign of the additive inverse doesn't matter

• True, the additive inverse of complex number a + bi is -a - bi.

Give the multiplicative inverse of 3 + 5i.

• $\frac{3}{34}-\frac{5i}{34}$

• $-\frac{3}{34}-\frac{5i}{34}$

• $\frac{3}{34}+\frac{5i}{34}$

• $-\frac{3}{34}+\frac{5i}{34}$

The multiplicative inverse of 6i - 2 is __________.

• $-\frac{1}{20}-\frac{3i}{20}$

• $\frac{1}{20}-\frac{3i}{20}$

• $-\frac{1}{20}+\frac{3i}{20}$

• $+\frac{1}{20}+\frac{3i}{20}$

If z = 4 - i, find  $z^{-1}$  .

•  $\frac{4}{17}-\frac{i}{17}$  

•  $-\frac{4}{17}+\frac{i}{17}$  

•  $-\frac{4}{17}-\frac{i}{17}$  

•  $\frac{4}{17}+\frac{i}{17}$  

Give z^-1 of z = -i.

• $-i$
  

• $-1$
  

• $\frac{-1}{i}$

• $i$

 $\frac{2}{13}-\frac{3i}{13}$  is the multiplicative inverse of which complex number?

• -2 + 3i

• 2 + 3i

• 2 - 3i

• -2 - 3i

Find the value of a and b such that ...

3a - 6 = 2bi - 6i

• a = 2 and b = -3

• a = -2 and b = -3

• a = -2 and b = 3

• a = 2 and b = -3

Find the value of b in the equation

2a - (a - b)i = 10 - 8i.

• b = 3

• b = -3

• b = 5

• b = -5

Find the value of a in the equation

4a - 4i = -2(1 + abi).

• a = -1/2

• a = 1/2

• a = -2

• a = 2