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Math Help - Basis of Subspace in R4

  1. #1
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    Basis of Subspace in R4

    Hi, I have a question about span of vectors. The question is:

    Find a basis of the subspace of R4 spanned by the following vectors:

    [-4,1,6,-9],[1,-3,4,5],[3,2,-10,4],[5,-4,-2,14]

    So I found the reduced row echelon form of these values stuck in an augmented matrix set equal to the zero vector and came up with

    [[1,0,-1,-1],[0,1,-1,1],[0,0,0,0],[0,0,0,0]]

    And I assumed that [[1,0,-1,-1]] and [[0,1,-1,1]] would be the answers but this was incorrect. Is anyone able to give any insight as to where I have gone wrong? Thanks for any help in advance!
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  2. #2
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    Re: Basis of Subspace in R4

    There is no unique answer. Yours may still be correct. I'd double check my work.
    Thanks from Cotty
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  3. #3
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    Re: Basis of Subspace in R4

    OK thanks for your help
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