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    Q) Find the dimension of the subspace of K^n that is spanned by the sequence of vectors (1,1,0,0), (0,1,0,1), (1,0,0,-1), (0,0,1,0), (1,0,1,-1), (0,2,1,2) Find a subsequence that is a basis of this subspace.

    My attempt:

    I sifted the sequence of vectors to get the subsequence (1,1,0,0), (0,1,0,1), (0,0,1,0). Therefore the dimension is three and this subsequence forms a basis of this subspace

    Am I correct?
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    (Original post by pineapplechemist)
    Q) Find the dimension of the subspace of K^n that is spanned by the sequence of vectors (1,1,0,0), (0,1,0,1), (1,0,0,-1), (0,0,1,0), (1,0,1,-1), (0,2,1,2) Find a subsequence that is a basis of this subspace.

    My attempt:

    I sifted the sequence of vectors to get the subsequence (1,1,0,0), (0,1,0,1), (0,0,1,0). Therefore the dimension is three and this subsequence forms a basis of this subspace

    Am I correct?
    I think so.
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    (Original post by rayquaza17)
    I think so.
    Thanks
 
 
 
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