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Homework Help: Linear help

  1. Dec 4, 2009 #1
    in my book it asks me to give an example of a linear transformation T: p4 -> R^4 thats onto. I have to prove that T is onto and a linear transformation...can someone give me some advice?
     
  2. jcsd
  3. Dec 5, 2009 #2

    Mark44

    Staff: Mentor

    Start with the definition of "onto."
     
  4. Dec 5, 2009 #3

    HallsofIvy

    User Avatar
    Science Advisor

    Actually, start with giving a simple example of a linear transformation- you have to have the transformation before you can prove it is one-to-one!

    Then use the definition of "onto".
     
  5. Dec 7, 2009 #4
    im still confused
     
  6. Dec 7, 2009 #5

    Mark44

    Staff: Mentor

    Can you think of any transformation that takes a polynomial such as x^4 + 5x^3 - x^2 + 2x - 5 to a vector with four components?
     
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