- #1
Hockeystar
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Homework Statement
Find the basis and dimension of the following subspace U of P2
p(x) [tex]\ni[/tex] P2 such that p(1) = p(2)
Homework Equations
The Attempt at a Solution
I know all quadratics are in the form ax2 + bx + c
set p(2) = p(1)
4a + 2b + c = a + b + c
b = -3a
Therefore ax2 -3a + c
Basis(U) = a(x2-3x) + c
Therefore dim(U) = 2
I'm just wondering if I have the correct answer or not. Going into linear algebra midterm tomorrow and prof never really went over polynomials but it's on the test.