grandes-ecoles 2018 QI.6

grandes-ecoles · France · x-ens-maths__pc Matrices Determinant and Rank Computation
Deduce the proportion, among matrices of $\mathcal{M}_{n}(\{-1,1\})$, of matrices $A$ that satisfy $n^{2} \in S(A)$. 
Deduce the proportion, among matrices of $\mathcal{M}_{n}(\{-1,1\})$, of matrices $A$ that satisfy $n^{2} \in S(A)$.
Paper Questions
QI.1 QI.2 QI.3 QI.4 QI.5 QI.6 QII.1 QII.2 QII.3 QII.4 QII.5 QII.6 QIII.1 QIII.2 QIII.3 QIII.4 QIV.1 QIV.2 QIV.3 QIV.4 QV.1 QV.2