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Vector operations and subsets

  1. Apr 1, 2012 #1
    question in attachment. please help!
     

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  2. jcsd
  3. Apr 1, 2012 #2

    jgens

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    Well what do you need help with?
     
  4. Apr 1, 2012 #3
    im confused on how to prove this
     
  5. Apr 1, 2012 #4

    jgens

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    What are the vector space axioms? Once you have these listed, then check if your space satisfies each of these axioms.
     
  6. Apr 1, 2012 #5
    whats a vector axiom?
     
  7. Apr 1, 2012 #6

    jgens

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    Do you know what a vector space is?
     
  8. Apr 1, 2012 #7

    HallsofIvy

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    Clearly whoever gave you this problem expects you to know what a "vector space" is. The various "rules" given in the definition of "vector space" are the "vector space axioms" jgens is referring to.
     
  9. Apr 1, 2012 #8
    yeah..i know what a vector space is..
     
  10. Apr 1, 2012 #9
    Ok, then just go 1-by-1 through the axioms and see if this set and this operation "pass" each one. If it doesn't pass one, then it isn't a vector space.
     
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