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Finding a basis

  1. Jan 30, 2009 #1
    if i am asked to fin a basis for the subspace V, which is spanned by ( 1 1 2) ( 2 -1 1) (1 -2 -1)....

    i put them into a matrix system
    1 1 2
    2 -1 1
    1 -2 -1
    now after performing elementart operations i get
    1 1 2
    0 -3 -3
    0 -3 -3
    so since R3 and R2 are the same, dimV=2, my question is if i am asked to give a basis, should i give ( 1 1 2) (0 -3 -3) or should i return to the original vectors given and answer (1 1 2 ) (2 -1 1) or perhaps something else,, is ther a more correct answer if i am asked to give a basis
     
  2. jcsd
  3. Jan 30, 2009 #2

    Defennder

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    There are an infinite number of possible bases for every vector space. They are all equally valid. Selecting one over another does not matter.
     
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