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Math Help - Matrix solution question.

  1. #1
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    Matrix solution question.

    I am supposed to say if the following matrix has no solutions, a unique solution, or infinitely many.
    [1 -2 2 -3 0
    2 -4 5 -4 0
    2 -4 4 -6 0
    1 -2 1 -5 0]

    I reduced this and got this matrix:

    [1 -2 2 -3 0
    0 0 1 2 0
    0 0 1 2 0
    0 0 0 0 0]

    The two identical equations would just reduce to one equation so I am left with 4 unkowns and two equations. I know you can describe the solutions parametrically using s & t but is that what I would do in this situation?

    Any help would be appreciated. Thank You
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  2. #2
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    Quote Originally Posted by Planeman View Post
    I am supposed to say if the following matrix has no solutions, a unique solution, or infinitely many.
    [1 -2 2 -3 0
    2 -4 5 -4 0
    2 -4 4 -6 0
    1 -2 1 -5 0]

    I reduced this and got this matrix:

    [1 -2 2 -3 0
    0 0 1 2 0
    0 0 1 2 0
    0 0 0 0 0]

    The two identical equations would just reduce to one equation so I am left with 4 unkowns and two equations. I know you can describe the solutions parametrically using s & t but is that what I would do in this situation?

    Any help would be appreciated. Thank You
    Since your parameters can take on infinitely many values, surely there must be infinitely many solutions.
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