Math Solutions

(See Solution) Prove: Let W be a subspace of an n-dimensional vector space V. Then there is a basis v1, ... vm, vm+1, ...vn of V such that v1, ... vm is a

Question: Prove: Let W be a subspace of an n-dimensional vector space V. Then there is a basis {v1, ... vm, vm+1, ...vn} of V such that {v1, ... vm} is a basis of W and W is finite dimensional and dimW<=dimV. (Hint: construct a basis for W and extend it to V)

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