1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    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!

Homework Help: Lin. Algebra: Is P2 a subspace of P3

  1. Mar 1, 2010 #1
    1. The problem statement, all variables and given/known data
    Simple enough: Is P2 a subspace of P3?


    2. Relevant equations



    3. The attempt at a solution
    I think it is. All P2's can be written in the form 0x^3 + ax^2 + bx + c. Then, it's easy to see that it's closed under scalar addition and multiplication.

    Our professor mentioned that R2 is NOT a subspace of R3, so that's throwing me off here. Anyone?
     
  2. jcsd
  3. Mar 1, 2010 #2
    Your solution to the problem looks good (if a little short, and I think you mean "addition and scalar multiplication").

    What is R2 and R3 here?
     
  4. Mar 1, 2010 #3
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook