Complex Numbers - Multiplicative inverse?

ok just a quick question.

What's the Multiplicative inverse of 1/2 - 1/2i?

gile2009-09-09T04:53:12Z

Favorite Answer

z = (1 - i)/2

1/z = 2/(1 - i)
. . .= 2(1 + i)/(1 - i)(1 + i)
. . .= 2(1 + i)/(1 - i²)
. . .= 2(1 + i)/(1 + 1)
. . .= 2(1 + i)/2
. . .= 1 + i

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