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Math Help - linear transformation

  1. #1
    Junior Member
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    linear transformation

    im given that V and W are vectors spaces now i need to show that the linear transformation L(V,W) is a vector space.
    Do I have to show the properties of a vector space.
    Commutativy. i.e show (S+T)=(T+S), such that S,T \in L(V,W) and for an arbritary v \in V

    I need some help here please
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  2. #2
    MHF Contributor Bruno J.'s Avatar
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    Yes, to show that it is a vector space you should prove that it has all the necessary properties.
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