grandes-ecoles 2025 Q13

grandes-ecoles · France · x-ens-maths-d__mp Matrices Linear Transformation and Endomorphism Properties

Let $n \geq 1$ be an integer and $P \subset \mathbb{R}^n$ a polytope. Show that $P$ has a finite number of faces and at least one vertex.

Let $n \geq 1$ be an integer and $P \subset \mathbb{R}^n$ a polytope. Show that $P$ has a finite number of faces and at least one vertex.