(Subspace Test) Prove that a nonempty subset U of a vector

Chapter 19, Problem 2E

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Problem 2E

(Subspace Test) Prove that a nonempty subset U of a vector space V over a field F is a subspace of V if, for every u and u' in U and . (In words, a nonempty set U is a subspace of V if it is closed under the two operations of V.)

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