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Homework Help: Does s spans R^3?

  1. Nov 11, 2013 #1
    1. Determine whether the set a) spans r3 and b) is linearly independent.
    S = {(1,0,0) , (0,1,0), (0,0,1), (2,-1,0)}

    2. Relevant equations

    3. For Span, I put it in a matrix:

    1 0 0 2
    0 1 0 -1
    0 0 1 0

    From there I concluded that the dimension of the column equal to the rank of the matrix, which is 3. So, it spans R3.

    Is this right?
  2. jcsd
  3. Nov 11, 2013 #2


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    Science Advisor
    Homework Helper

    hi physics=world! :smile:
    sorry, i don't understand :redface:

    can you please state this more clearly?​

    (and anyway, isn't the answer obvious from looking at just the first three vectors?)
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