suppose that V is finite dimensional, with dimV=n. Prove that there exist one-dimensional subspaces U1,...,Un (1 and n are supposed to be subscripts)of V such that

V = U1 + ... + Un (again, 1 and n are subscripts and + denotes a direct sum)

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- Jan 19th 2008, 04:12 PMalexminanother linear algebra question I can't get
suppose that V is finite dimensional, with dimV=n. Prove that there exist one-dimensional subspaces U1,...,Un (1 and n are supposed to be subscripts)of V such that

V = U1 + ... + Un (again, 1 and n are subscripts and + denotes a direct sum) - Jan 19th 2008, 04:34 PMThePerfectHacker