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Math Help - Need help with formation of basis in R3

  1. #1
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    Need help with formation of basis in R3

    v(1)=<6,-7,0>
    v(2)=<-4,1,-7>
    v(3)=<8,-24,k>

    The three vectors form a basis in R3 if and only if k does not equal ____?


    Thank You,
    Diggidy
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  2. #2
    A Plied Mathematician
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    What ideas have you had so far?
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  3. #3
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    Well, i know that v(1) v(2) and v(3) have to be linearly independent they also have to span V....

    and i tried putting them into reduced row echelon form but i dont know what to do with the k
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  4. #4
    A Plied Mathematician
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    What did you get for the rref? As for the k, just treat it like any other number.
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