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Complex & Hermitian Conjugate of Matrix

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  • 14-02-2012 7:20pm
    #1
    Smythe
    Registered Users Posts: 434 ✭✭


    1x2 Matrix A =

    [(5) (-2i)]


    What is the complex conjugate and Hermitian conjugate of this matrix?

    ANS:

    D^T =
    5
    -2i


    D^H =
    5
    +2i


    What do you think of my answers?


Comments

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    #2
    MoogPoo
    Registered Users Posts: 156 ✭✭MoogPoo


    the answers you gave are the transpose and hermitian conjugate?


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    #3
    bnt
    Registered Users Posts: 12,962 ✭✭✭✭bnt


    The complex conjugate should not be transposed - just take the negative of the complex term.

    As for the Hermitian - I think they mean what Wolfram calls a Conjugate Transpose i.e. transposed complex conjugate. The terminology is not consistent, so I'm not sure.

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    #4
    Smythe
    Registered Users Posts: 434 ✭✭Smythe


    Thanks, yes I accidentally hadn't typed in the complex conjugate.


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