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Math Help - linear system

  1. #1
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    Jan 2009
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    linear system

    x + 2y + 3z = a
    2x +5y + 3z = b
    x + 8z = c

    what is condition should a,b,c be so that this system:
    a) have exact one solution
    b) have no solution
    c) have infinit number of solution

    please explain it step by step
    i really need it.
    thanks
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  2. #2
    MHF Contributor red_dog's Avatar
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    Medgidia, Romania
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    The determinant of the system is equal to -1, so the system has only one solution, \forall a,b,c
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  3. #3
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    i dont quite get what you mean, can you make it a little clearer ? thx
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