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Rachel123

  • 3 years ago

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

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  1. Aperogalics
    • 3 years ago
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    yup:)

  2. Rachel123
    • 3 years ago
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    Can you explain why?

  3. Aperogalics
    • 3 years ago
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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| :)

  4. Rachel123
    • 3 years ago
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    Ok, I think I get it now. Thanks!

  5. Aperogalics
    • 3 years ago
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    anytime:)

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