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PROVE: If S = ~s1, . . . , ~sm is a system of vectors and...

PROVE: If S = ~s1, . . . , ~sm is a system of vectors and B = ~v1, . . . , ~vn is a spanning system of a vector space V , then if every ~vi ∈ B can be written as a linear combination of elements from S, then S is also a spanning system of a vector space V .

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