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Linear Algebra, spanned by vectors

  • Thread starter rocomath
  • Start date
  • #1
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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.
 

Answers and Replies

  • #2
Defennder
Homework Helper
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That may be so, but the linear coefficients of the positive vectors may be negative.
 
  • #3
1,752
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That may be so, but the linear coefficients of the positive vectors may be negative.
Ah, I c! Thanks.
 

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