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Math Help - Need help with Trivial/Non trivial solution

  1. #1
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    Need help with Trivial/Non trivial solution


    The questions asks for what value of Z does your set of equations have a non trivial solution?
    I am not even sure how to begin.. any hints?
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  2. #2
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by supersaiyan View Post

    The questions asks for what value of Z does your set of equations have a non trivial solution?
    I am not even sure how to begin.. any hints?
    Hint: create an augmented matrix and solve it using Gauss-Jordan elimination. You will obtain an expression in Z that will allow you to solve for it.
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  3. #3
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    A homogeneous system of equations will have a non-trivial solution if and only if the determinant of the coefficient matrix is 0.

    Solve \left|\begin{array}{cccc}-2 & 2 & 5 & 4 \\ -3 & 2 & 5 & 7 \\ 6 & -4 & 5 & 0 \\ 1 & 0 & 15 & Z\end{array}\right|= 0
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