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Suppose that {X1, X2, X3, x4} is a basis for a vector space V. Suppose that U is a subspace of V, and that x1,

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Suppose that {X1, X2, X3, x4} is a basis for a vector space V. Suppose that U is a subspace of V, and that x1, X2 ( U but x3 @ U and x4 @ U. Is it true that {x1, x2} is a basis for U? Proof or counterexample

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