- #1
penguin007
- 77
- 0
Homework Statement
f is an endomorphism of Rn[X]
f(P)(X)=((aX+b)P)'
eigenvalues of f?
Homework Equations
(a,b)<>(0,0)
The Attempt at a Solution
If a=0, then f(P)=bP', and only P=constant is solution
if a<>0, then I put Q=(ax+b)P, f(P)=cP is equivalent to (ax+b)Q'=Q (E)
I solved (E) and found Q(X)=(aX+b)^c but then if I say P(X)=(aX+b)^(c-1), I can't find c...