grandes-ecoles 2024 Q1

grandes-ecoles · France · x-ens-maths__pc Matrices Determinant and Rank Computation

Let $R \in \mathrm{O}_{d}(\mathbb{R})$. Verify that $\operatorname{det}(R) \in \{-1, +1\}$.

Let $R \in \mathrm{O}_{d}(\mathbb{R})$. Verify that $\operatorname{det}(R) \in \{-1, +1\}$.