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Math Help - solving linear equations which all equal to 0 using matrices

  1. #1
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    solving linear equations which all equal to 0 using matrices

    Hi,

    ok I have a system of matrices whereby:

    Cx=0

    C is a (7 x 7) matrix of coefficients and x is a (7 x 1) vector of non-zero unknowns. I know all the coefficients in the (7 x 7) coefficient matrix. I need to find the terms in x. has anyone any ideas?

    Thanks
    Danny
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  2. #2
    Senior Member Peritus's Avatar
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    Use Gaussian elimination, to solve the system.

    Gaussian elimination - Wikipedia, the free encyclopedia
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  3. #3
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    hmmmm

    are you sure the gaussian elimination method will work even though the linear equations all equal 0 because in the end one still ends up with for example 6a = *0* and so all the values = 0 which is untrue. Or am i talking crap .

    Thanks for your time
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  4. #4
    Senior Member Peritus's Avatar
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    if the determinant of the coefficient matrix C is not zero or conversely if it's invertible, than the trivial solution x = 0is the only solution. But if it's not invertible which means that some of the equations are linearly dependent than you'll get an infinite amount of solutions other than 0....
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