Given two finite subsets S, S in a vector space V, show that Span(S U S)...

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Given two finite subsets S₁, S₂ in a vector space V, show that Span(S₁ U S₂) = Span(S₁) + Span(S₂). Given two finite subsets S₁, S₂ in a vector space V, show that Span(S₁ U S₂) = Span(S₁) + Span(S₂).

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To show that SpanS1 U S2 SpanS1 SpanS2 we need to demonstrate that any vector in the span of S1 U S2 can be expressed as the sum of a vector from the ... View the full answer