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    Vector Subspaces

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    If U is a subspace of V then W=V-U (a vector x that belongs to W can not belong to U) W also is a subspace. (Proof or counterexample)

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    If U is a subspace of V then V-U = also is a ...

    Solution Summary

    The solution applies a simple vector math and the definition of subspace to prove/disprove the statement.