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Math Help - Determinant

  1. #1
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    Determinant

    Hello guys, can someone help me with this question please?
    Attached Thumbnails Attached Thumbnails Determinant-determinnte.png  
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  2. #2
    Senior Member MaxJasper's Avatar
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    Lightbulb Re: Determinant

    Quote Originally Posted by Chipset3600 View Post
    Hello guys, can someone help me with this question please?
    M=\left(\begin{array}{cccc} a & b & c & d \\ x & y & z & w \\ t & r & s & u \\ m & n & p & q\end{array}\right)

    |M|=3

    Q=\left(\begin{array}{cccc} 2 a & 10 b & 2 c & 2 d \\ x & 5 y & z & w \\ -t & -5 r & -s & -u \\ m & 5 n & p & q\end{array}\right)

    |Q| = -10|M| = -30
    Last edited by MaxJasper; September 11th 2012 at 06:29 PM.
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  3. #3
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    Re: Determinant

    How did you get the -10?
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  4. #4
    Senior Member MaxJasper's Avatar
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    Re: Determinant

    Q & M are linearly dependent because you can obtain Q from M by:
    1) 1st row x 2
    2) 2nd col x5
    3) 3rd row x (-1)

    combined effect is -10 on determinant of M!
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  5. #5
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    Re: Determinant

    Thankkkkkkkkkkkk you! the problem was that i trought the Jacobbi theorem was only for Rows and not columns.
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