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Subspaces

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Multiple Choice

What is a subspace of a vector space?

  1. A non-empty subset of a vector space that is closed under vector addition and scalar multiplication
  2. A non-empty subset of a vector space that is closed under vector addition
  3. A non-empty subset of a vector space that is closed under scalar multiplication
  4. A non-empty subset of a vector space that is closed under vector addition and scalar multiplication and contains the zero vector
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