grandes-ecoles 2022 Q4

grandes-ecoles · France · centrale-maths1__psi Invariant lines and eigenvalues and vectors Compute eigenvalues of a given matrix
Show that, if $A \in \mathcal { M } _ { n } ( \mathbb { R } )$ is nilpotent, then 0 is an eigenvalue of $A$ and that it is the only complex eigenvalue of $A$. 
Show that, if $A \in \mathcal { M } _ { n } ( \mathbb { R } )$ is nilpotent, then 0 is an eigenvalue of $A$ and that it is the only complex eigenvalue of $A$.
Paper Questions
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