Derivation as operator/Linear/Eigenvectors/Exercise
Jump to navigation
Jump to search
Let denote the real vector space, which consists of all functions from tp , which are arbitrarily often differentiable.
a) Show that the derivation is a linear mapping from to .
b) Determine the
eigenvalues
of the derivation and determine, for each eigenvalue, at least one
eigenvector.
c) Determine for every real number the
eigenspace
and its