Polynomial/Degree/Derivation as operator/Eigenspaces/Exercise

Let ${}V=\mathbb {R} [X]_{\leq d}$ denote the set of all real polynomials of degree ${}\leq d$. Determine the eigenvalues, eigenvectors and eigenspaces of the derivation operator

$V\longrightarrow V,P\longmapsto P'.$

Create a solution