Question: 5. Let V be a finite dimensional vector space. Let U and W be subspaces of V. (a) Use the Subspace Test to prove that

5. Let V be a finite dimensional vector space. Let U and W be subspaces of V.

(a) Use the Subspace Test to prove that U W is a subspace of V. (b) Prove that U W is a subspace of U.

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