exo7 5649

1

[exo:rou15] Soient \(a_0\), ... , \(a_{n-1}\) \(n\) nombres complexes et \(A=\left( \begin{array}{ccccc} 0&\ldots&\ldots&0&a_0\\ 1&\ddots& &\vdots&a_1\\ 0&\ddots&\ddots&\vdots&\vdots\\ \vdots&\ddots&\ddots&0&\vdots\\ 0&\ldots&0&1&a_{n-1} \end{array} \right)\). Calculer \(\text{det}(A-xI_n)\).