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About Tx=y

  1. Aug 28, 2010 #1
    Help for prove this please

    Let [tex]T\in{L(V,W)}[/tex]
    The equation [tex]Tx=y[/tex] have one solution iff [tex]y\in{R(T)}[/tex]
    Last edited: Aug 28, 2010
  2. jcsd
  3. Aug 28, 2010 #2


    Staff: Mentor

    What have you tried?
  4. Aug 28, 2010 #3


    User Avatar
    Science Advisor

    A couple of questions: when you say "has one solution" do you mean exactly one solution or at least one solution?

    Also, do you know the definition of "R(T)"?

    It looks to me like this problem is either impossible or trivial!
  5. Aug 28, 2010 #4
    Read carefully and try to understand without any doubt whatsoever the definition of R(T).
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