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Lyrical Lie
Lv 5
Lyrical Lie asked in Science & MathematicsMathematics · 1 decade ago

Complex Numbers - Multiplicative inverse?

ok just a quick question.

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

1 Answer

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  • gile
    Lv 7
    1 decade ago
    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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