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mlb2358
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Homework Statement
True or False: If S is a spanning set for a vector space V, then every vector v in V must be uniquely expressible as a linear combination of the vectors in S.
Homework Equations
The Attempt at a Solution
For some reason, the answer to this question is false, although to me it seems like this is almost the definition of a spanning set. I am unsure about what the word "uniquely" means here, so maybe that is causing my confusion. Any help would be appreciated!