1. PF Contest - Win "Conquering the Physics GRE" book! Click Here to Enter
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

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


    Staff: Mentor

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


    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


    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?
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook