grandes-ecoles 2013 QI.D.1

grandes-ecoles · France · centrale-maths2__mp Matrices Matrix Group and Subgroup Structure
Show that $\mathrm{O}(n)$ is a compact subset of $\mathcal{M}_n(\mathbb{R})$. 
Show that $\mathrm{O}(n)$ is a compact subset of $\mathcal{M}_n(\mathbb{R})$.
Paper Questions
QI.A.1 QI.A.2 QI.B.1 QI.B.2 QI.B.3 QI.C.1 QI.C.2 QI.C.3 QI.D.1 QI.D.2 QI.D.3 QI.D.4 QI.E QII.A.1 QII.A.2 QII.A.3 QII.B.1 QII.B.2 QIII.A QIII.B QIII.C QIII.D QIV.A QIV.B.1 QIV.B.2 QIV.B.3 QIV.B.4 QIV.C.1 QIV.C.2 QIV.C.3 QIV.C.4 QIV.C.5