True or False - University of California, Berkeley

1. True or False (1) Every vector space has at least two subspaces. F : zero space (2) Every subspace of a vector space V can be written as the span of some list of vectors in V (remember that a list, by de nition, must be nite). F : take an in nite-dimensional space (3) If S and T are two subsets of V, and SpanS = SpanT, then S = T. ................
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