grandes-ecoles 2016 QI.A.3

grandes-ecoles · France · centrale-maths1__psi Proof Structured Matrix Characterization
Prove that $\mathcal{Y}_n$ is a convex and compact subset of $\mathcal{M}_n(\mathbb{R})$. 
Prove that $\mathcal{Y}_n$ is a convex and compact subset of $\mathcal{M}_n(\mathbb{R})$.
Paper Questions
QI.A.1 QI.A.2 QI.A.3 QI.A.4 QI.B.1 QI.B.2 QII.A.1 QII.A.2 QII.A.3 QII.B.1 QII.B.2 QII.B.3 QII.B.4 QIII.A.1 QIII.A.2 QIII.A.3 QIII.B.1 QIII.B.2 QIII.B.3 QIII.B.4 QIII.C QIV.A.1 QIV.A.2 QIV.A.3 QIV.A.4 QIV.A.5 QIV.A.6 QIV.A.7 QIV.B.1 QIV.B.2 QIV.B.3 QIV.B.4 QIV.B.5 QIV.B.6