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Math Help - Help finding a basis of a subspace of R4?

  1. #1
    Newbie
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    Mar 2013
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    Queensland
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    Help finding a basis of a subspace of R4?

    Find a basis of the subspace of spanned by the following vectors:
    4
    3
    -7
    10

    6
    14
    -20
    34

    1
    -4
    3
    -7

    1
    -4
    4
    -7

    i turned it into a matrix and then row reduced it and got this:
    1 0 1 0
    0 1 -1/2 0
    0 0 0 1
    0 0 0 0

    im just unsure what to do now, please help.
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  2. #2
    Super Member
    Joined
    Jan 2008
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    Re: Help finding a basis of a subspace of R4?

    The matrix you row reduced tells you that one of your vectors is dependent on the others. Find and remove this vector. The remaining vectors should be linearly independent, and by definition they span their span...
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