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Rachel123

Does span(S1 intersect S2)=Span(S1) intersect Span(S2)?

  • one year ago
  • one year ago

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  1. Aperogalics
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    yup:)

    • one year ago
  2. Rachel123
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    Can you explain why?

    • one year ago
  3. Aperogalics
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    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| :)

    • one year ago
  4. Rachel123
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    Ok, I think I get it now. Thanks!

    • one year ago
  5. Aperogalics
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    anytime:)

    • one year ago
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