Homework Statement
Let V:= ℝ_{2}[t]
V \in f: v \mapsto f(v) \in V, \forall v \in V (f(v))(t) := v(2-t)
a) Check that f \in End(V)
b) Calculate the characteristic polynomial of f.
Homework Equations
The Attempt at a Solution
a) Is it sufficient to check that (f+g)(t)=f(t)+g(t) ...