grandes-ecoles 2014 Q12

grandes-ecoles · France · x-ens-maths1__mp Not Maths

We assume $\mathbb{K} = \mathbb{R}$. Prove that $S O ( 2 ) = \{ M \in O ( 2 ) \mid \operatorname { det } ( M ) = 1 \}$ is path-connected.

We assume $\mathbb{K} = \mathbb{R}$. Prove that $S O ( 2 ) = \{ M \in O ( 2 ) \mid \operatorname { det } ( M ) = 1 \}$ is path-connected.