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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
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