- #1
veege
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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?