Recent content by safi

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    What is the relationship between span and dimension?

    Homework Statement Hi, I have to prove that there's no exist a generating set for "x" with less of "n" vectors when "n" is the dimension of the basis of "x" Homework Equations is there a span(x) whith dimension m? when m<n and n is the dimension of the basis The Attempt at a Solution...
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    "Span of a Subspace - Does it Equal x?

    Hi, thanks!
  3. S

    "Span of a Subspace - Does it Equal x?

    Homework Statement If x is a subspace of V so, span(x)=x Homework Equations span(x)=x The Attempt at a Solution If x is a subspace so, for any "a", "b" in x: a+b∈x and (c1)*a∈x So a linear combination of x belongs to x but is equal to x?