Prove or give a counterexample: If V1, V2, V3, V4 is a basis of V and...
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Prove or give a counterexample: If V1, V2, V3, V4 is a basis of V and U is a subspace of V such that v₁. v2 EU and v3 U and v4 U, then V1, V2 is a basis of U. Prove or give a counterexample: If V1, V2, V3, V4 is a basis of V and U is a subspace of V such that v₁. v2 EU and v3 U and v4 U, then V1, V2 is a basis of U.
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