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Linear Algebra, spanned by vectors

  1. Jun 23, 2008 #1
    How is this "All of R^3"

    Describe the subspace of R^3 spanned by: all vectors with positive components.

    Answer is, All of R^3. I don't get how it's all of R^3 though because if the components are all positive, it's only spanning in the positive direction? What about the negative portion? That is excluded, so it's not all of R^3.
     
  2. jcsd
  3. Jun 23, 2008 #2

    Defennder

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    That may be so, but the linear coefficients of the positive vectors may be negative.
     
  4. Jun 23, 2008 #3
    Ah, I c! Thanks.
     
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