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Math Help - Complex Expression #2

  1. #1
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    Question Complex Expression #2

    Write an expression for the product of a complex number c + di and its complex conjugate.

    Thanks for any help!
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  2. #2
    MHF Contributor Mathstud28's Avatar
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    Quote Originally Posted by live_laugh_luv27 View Post
    Write an expression for the product of a complex number c + di and its complex conjugate.

    Thanks for any help!
    Let z=a+bi and \bar{z}=a-bi, then by the difference of squares factoring z\cdot\bar{z}=(a+bi)(a-bi)=a^2-(bi)^2=a^2+b^2

    EDIT: Also note that z\cdot\bar{z}=\left|z\right|^2
    Last edited by Mathstud28; November 19th 2008 at 05:03 PM. Reason: Edit
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