grandes-ecoles 2016 QI.A.2

grandes-ecoles · France · centrale-maths1__psi Matrices Determinant and Rank Computation
Prove that for all $M \in \mathcal{Y}_n$, $\operatorname{det}(M) \leqslant n!$ and that there is no equality. 
Prove that for all $M \in \mathcal{Y}_n$, $\operatorname{det}(M) \leqslant n!$ and that there is no equality.
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