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Math Help - Gauss-Jordan with complex numbers

  1. #1
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    Gauss-Jordan with complex numbers

    I did a quick search on google but I did not find anything.

    \begin{pmatrix}2&-1-i\\-1+i&1\end{pmatrix}

    Is this the right approach:
    1. divide the first row by 2
    2. add the first row to row 2...

    \begin{pmatrix}1&(-1-i)/2\\i&1/2-i/2\end{pmatrix}

    is this good so far?
    now should I divide the 2nd row by i, and then subtract is by row 1?
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by chrisc View Post
    I did a quick search on google but I did not find anything.

    \begin{pmatrix}2&-1-i\\-1+i&1\end{pmatrix}

    Is this the right approach:
    1. divide the first row by 2
    2. add the first row to row 2...

    \begin{pmatrix}1&(-1-i)/2\\i&1/2-i/2\end{pmatrix}

    is this good so far?
    now should I divide the 2nd row by i, and then subtract is by row 1?
    Divide the first row by 2 is OK

    but then subtract -1+i times the first row from the second.

    (the reason you found nothing specific to complex matrices is that the process is identical to that for real matrices)

    CB
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