Let W be a nonempty subset of Rn that satisfies conditions

Chapter 3, Problem 34E

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Problem 34E

Let W be a nonempty subset of Rn that satisfies conditions (s2) and (s3) of Theorem 2. Prove that θ is in W and conclude that VV is a subspace of Rn. (Thus property (si) of Theorem 2 can be replaced with the assumption that W is nonempty.)

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