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Lin. Algebra: Is P2 a subspace of P3

  • Thread starter veege
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  • #1
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Homework Statement


Simple enough: Is P2 a subspace of P3?


Homework Equations





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?
 

Answers and Replies

  • #2
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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?
 
  • #3
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