grandes-ecoles 2020 Q1

grandes-ecoles · France · x-ens-maths-a__mp_cpge Invariant lines and eigenvalues and vectors Eigenvalue and Characteristic Polynomial Analysis

Exhibit a matrix $M \in S _ { 2 } ( \mathbb { Q } )$ for which $\sqrt { 2 }$ is an eigenvalue.

Exhibit a matrix $M \in S _ { 2 } ( \mathbb { Q } )$ for which $\sqrt { 2 }$ is an eigenvalue.