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Math Help - Matrix: Find X, when Det=0

  1. #1
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    Matrix: Find X, when Det=0

    Let

    Then if ______

    How would I begin to solve for X? Under what conditions does the determinant of the Matrix = 0.

    Thank you for your help!
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  2. #2
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    For a 3X3 determinant:

    \begin{bmatrix}a&b&c\\d&e&f\\g&h&i\end{bmatrix}

    a(ei-fh)-b(di-fg)+c(dh-eg)=0

    =3(4(0)-(1)(5))-3(2x(0)-1(x))+1((2x)(5)-4x)=9x+15

    9x+15=0

    x=\frac{-5}{3}
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