Calculus

prove: if z is a complex number and 1/z=the conjugate of z over the absolute value of z squared.

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  1. You can write z in the form:

    z = |z|exp(i theta)

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  2. is that how you prove it?

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  3. Well, if z = |z| exp(i theta), then

    1/z = |z|^-1 exp(- i theta)

    But z* = z exp(- i theta), so it differs by a factor 1/|z|^2

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