grandes-ecoles 2023 Q19

grandes-ecoles · France · centrale-maths1__official Not Maths

Let $T$ be a non-zero shift-invariant endomorphism of $\mathbb{K}[X]$ that is invertible. Show that $T^{-1}$ is still a shift-invariant endomorphism.

Let $T$ be a non-zero shift-invariant endomorphism of $\mathbb{K}[X]$ that is invertible. Show that $T^{-1}$ is still a shift-invariant endomorphism.