grandes-ecoles 2014 QI.A.5

grandes-ecoles · France · centrale-maths2__psi Matrices Matrix Group and Subgroup Structure
Show that the sets $O ( 1 , p ) , O ^ { + } ( 1 , p )$ and $O ^ { - } ( 1 , p )$ of $\mathcal { M } _ { p + 1 } ( \mathbb { R } )$ are closed.
Show that the sets $O ( 1 , p ) , O ^ { + } ( 1 , p )$ and $O ^ { - } ( 1 , p )$ of $\mathcal { M } _ { p + 1 } ( \mathbb { R } )$ are closed.