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Help! linear algebra Q

  1. Apr 12, 2005 #1
    Could someone help me here please?

    Let V and W be two vector spaces and T: V -> W be a linear map. Define

    T(inv) (0) = { u element of V l T(u) = 0 }

    where 0 is the zero element in W. Also define,

    T(V) = { T(u) l u element of V},

    the image of V under T. Show that T(inv) (0) is a subspace of V and T(V) is a subspace of W.

    Your help is much appreciated!
  2. jcsd
  3. Apr 12, 2005 #2

    matt grime

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    Just chekc the axioms for a subspave are satisfied, and post your working.
  4. Apr 12, 2005 #3
    you mean the three axioms?
  5. Apr 12, 2005 #4
    since I want to make sure I have the correct answer, if someone has the time I appreciate a detailed response.
  6. Apr 12, 2005 #5

    matt grime

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    Doing someone else's homework isn't very interesting to most people. So post what you've managed to verify. Something is a subspace if and only iof it satisfies the rules for being a subspace; how far have you been able to verify that the rules hold?
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