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LINEAR ALGEBRA Prove or disapprove (no counterexamples): Given that sets A = {u1....un} and B = {v1....vn}...

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Advance Math

LINEAR ALGEBRA Prove or disapprove (no counterexamples):

Given that sets A = {u1....un} and B ={v1....vn} aresubsets vectors of a vector space V.

If the vectors in A and B, respectively, are independent anddim(Span(u1....un)) =dim(Span(v1....vn))

then Span(u1....un) =Span(v1....vn)

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