grandes-ecoles 2022 Q29

grandes-ecoles · France · centrale-maths1__official Groups Symplectic and Orthogonal Group Properties

Let $a \in E$ be a non-zero vector and $\lambda$ be a real number. Show that $\operatorname { det } \left( \tau _ { a } ^ { \lambda } \right) > 0$.

Let $a \in E$ be a non-zero vector and $\lambda$ be a real number. Show that $\operatorname { det } \left( \tau _ { a } ^ { \lambda } \right) > 0$.