anonymous
  • anonymous
Does span(S1 intersect S2)=Span(S1) intersect Span(S2)?
Mathematics
chestercat
  • chestercat
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anonymous
  • anonymous
yup:)
anonymous
  • anonymous
Can you explain why?
anonymous
  • anonymous
first Prove that span(S1 ∩ S2) ⊆ span(S1) ∩ span(S2) by definition of intersection both S1 and S2 contain S1∩S2 so span(S1 ∩ S2) ⊆ span(S1) and span(S1 ∩ S2) ⊆ span(S2) so they will be ⊆ of their intersection also and reverse is similarly can be proved or other way is venn diagram|dw:1352212976659:dw| :)

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anonymous
  • anonymous
Ok, I think I get it now. Thanks!
anonymous
  • anonymous
anytime:)

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