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Math Help - Help with linear indepence/dependence

  1. #1
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    Help with linear indepence/dependence

    Hi everyone,

    I have the set {(0,1,1),(1,0,1)(-1,1,0)}

    is this a linearly independent or dependent set?

    After playing about with it I think it is dependent as I cannot get it equal to zero. However, I might be wrong
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  2. #2
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    Re: Help with linear indepence/dependence

    Quote Originally Posted by Helenf12 View Post
    After playing about with it I think it is dependent as I cannot get it equal to zero.
    How is it dependent if you can't get a linear combination that is equal to zero?

    Have you tried subtracting the third vector from the first one?
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  3. #3
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    Re: Help with linear indepence/dependence

    Calculate the determinant with rows equal to vectors. If = 0, dependent, otherwise independent
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