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Math Help - Need assistance with matrix problem in mathematics...please help?

  1. #1
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    Need assistance with matrix problem in mathematics...please help?

    M [-4 x]
    [-10 -5]

    Find the valueof x which would make M a non singular Matrix.

    Can someone please explain to me how to do this? THanks
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  2. #2
    Senior Member MacstersUndead's Avatar
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    Re: Need assistance with matrix problem in mathematics...please help?

    Definition: A non-singular matrix is a square matrix whose determinant is not zero.

    Take the determinant of the 2x2 matrix given, which is ad - bc, set it to zero, then solve for x. You can conclude then if x is not the values you solved for, then the matrix will be non-singular.
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  3. #3
    Newbie JeanGunter's Avatar
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    Re: Need assistance with matrix problem in mathematics...please help?

    No idea for this problem.
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  4. #4
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    Re: Need assistance with matrix problem in mathematics...please help?

    Even after you have told exactly what to do? The given matrix is \begin{bmatrix}-4 & x \\ -10 & -5 \end{bmatrix}. The determinant is [tex](-4)(-5)- (-10)(x)= 20+ 10x[tex]. That will be 0 when x= -2. The matrix will be non-singular for any other value of x.
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