Question

Find the multiplicative inverse of 6 + 2i.





6 - 2i

Answer 1

A short review.

A multiplicative inverse of any number V (whether it contains any variables or not. And not including 0, since it never becomes 1, no matter what you multiply it by, and not including 1,) is 1/V.

If it is -V though, it will be -1/V.

For example, for "4" a multiplicative inverse is 1/4.
Because 1/4 * 4 = 1

For -3/4 it is -4/3
because (-3/4) * (-4/3) = 1

If it is a+bi then the inverse would simply be 1/(a+bi)
if you number is ai+b, then inverse would be 1/(ai+b)


for ai-b it is, 1/(ai-b).

Answer 2

6-2i, is a conjugate for 6+2i, but it is NOT it's multiplicative inverse.