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Math Help - help with determinant problem....

  1. #1
    Newbie JoanneMac's Avatar
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    Exclamation help with determinant problem....

    Ok, here it is. I know how to do every single problem dealing with determinants except THIS one. This problem you have to solve the equation for 'x'.

    |0 0 -1|
    | 3 x 0 | = x^2
    | 2 0 3 |

    Any help is appreciated!


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  2. #2
    Super Member
    earboth's Avatar
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    Quote Originally Posted by JoanneMac View Post
    Ok, here it is. I know how to do every single problem dealing with determinants except THIS one. This problem you have to solve the equation for 'x'.

    |0 0 -1|
    | 3 x 0 | = x^2
    | 2 0 3 |

    Any help is appreciated!

    Calculate the determinant. You'll get

    \left|\begin{array}{ccc}0&0&-1\\3&x&0\\2&0&3\end{array}\right| = 2x

    That means you have to solve for x:

    2x = x^2~\implies~x^2-2x=0~\implies~x(x-2)=0~\implies~x=0~\vee~x=2
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