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Subspace and subset

  1. Sep 24, 2012 #1
    Hi,

    A quick question:
    Does a set need to be a subset to be a subspace of some vector space?
     
  2. jcsd
  3. Sep 24, 2012 #2

    micromass

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    Yes, a subspace of a vector space V necessarily needs to be a subset.
     
  4. Sep 24, 2012 #3

    HallsofIvy

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    A vector space is a set of objects with "addition" and "scalar multiplication" defined. A "subspace" is a subset with the "inherited" addition and scalar multiplication.
     
  5. Sep 24, 2012 #4
    Thank you!
     
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