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Math Help - Matrix question! can someone help please!!!

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    Matrix question! can someone help please!!!

    show that if the system of equations:

    x-y+2z=0
    3x+4y+az=0
    2x+by+4z=0

    has non-trivial solution then either a=6 or b=-2
    find the general solution to the system of equations when a=6
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  2. #2
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    Quote Originally Posted by semahusseyin View Post
    show that if the system of equations:

    x-y+2z=0
    3x+4y+az=0
    2x+by+4z=0

    has non-trivial solution then either a=6 or b=-2
    find the general solution to the system of equations when a=6
    In your classnotes or textbook it will say somewhere that for a homogeneous system of linear equations to have a non-trivial solution the determinant of the coefficient matrix has to equal zero. (In which case there is an infinite number of solutions).
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