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a)Suppose U is a nonempty subset of the vector space V over field F. Prove that...

a)Suppose U is a nonempty subset of the vector space V over field F. Prove that U is a subspace if and only if cv + w ∈ U for any c ∈ F and any v, w ∈ U

b)Give an example to show that the union of two subspaces of V is not necessarily a subspace.

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