Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

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

    Mark44

    Staff: Mentor

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

    HallsofIvy

    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).
     
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook