Question
Given two finite subsets S, S in a vector space V, show that Span(S U S) = Span(S) + Span(S).
Given two finite subsets S, S in a vector space V, show that Span(S U S) = Span(S) + Span(S).
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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 ...Get Instant Access to Expert-Tailored Solutions
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Linear Algebra and Its Applications
Authors: David C. Lay
4th edition
321791541, 978-0321388834, 978-0321791542
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