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Math Help - LinAlg - please help! Due today!

  1. #1
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    LinAlg - please help! Due today!

    A=[-2
    -7
    -1]

    B=[-2
    4
    -3]

    C=[0
    6
    -4]

    and i'm supposed to determine if they're linearly depedent or independent
    The vectors were written horizontally this time, as they often are in books, but that is just to save space. The problem is the same as if the vectors were written vertically.
    If they are linearly dependent, determine a non-trivial linear relation - (a non-trivial relation is three numbers which are not all three zero.) otherwise, if the vectors are linearly independent, enter 0's for the coefficients, since that relationship always holds.

    ____A + _____B + ______C = 0

    I have determined that it is linearly dependent... but I don't know how to solve for A, B, and C.
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  2. #2
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    Quote Originally Posted by eiktmywib View Post
    A=[-2
    -7
    -1]

    B=[-2
    4
    -3]

    C=[0
    6
    -4]

    and i'm supposed to determine if they're linearly depedent or independent
    The vectors were written horizontally this time, as they often are in books, but that is just to save space. The problem is the same as if the vectors were written vertically.
    If they are linearly dependent, determine a non-trivial linear relation - (a non-trivial relation is three numbers which are not all three zero.) otherwise, if the vectors are linearly independent, enter 0's for the coefficients, since that relationship always holds.

    ____A + _____B + ______C = 0

    I have determined that it is linearly dependent... but I don't know how to solve for A, B, and C.
    If the vectors were dependent then it'd be possible to find a value of \alpha and \beta such that

    <-2, -7, -1> = \alpha <-2, 4, -3> + \beta <0, 6, -4>.

    Obviously \alpha = 1 is necessary but it's not possible to get a value of \beta.

    The obvious conclusion is that A, B and C are NOT dependent, that is, they are independent.
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