Question: Suppose that A : {61:1, . . . , 63-}, B : {31, . . . ,gj}, and C : {51, . . . ,

Suppose that A : {61:1, . . . , 63-}, B : {31, . . . ,gj}, and C : {51, . . . , 5k} are all subsets of an n-dimensional vector space V over F. Suppose further that Span(A) : Span(B). Prove that Span(A U C) : Span(B U C)

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