Question Number 173061 by mathocean1 last updated on 06/Jul/22
$${Calculate}\:{and}\:{factorize}\:{for}\:{m}\:\in\:\mathbb{R},\: \\ $$$${The}\:{caracteristic}\:{polynom}\:{of} \\ $$$${A}=\begin{pmatrix}{−\mathrm{2}−{m}}&{\:\:\:\mathrm{5}+{m}}&{\:\:\:\:\:{m}}\\{\:\:\:\:\:\:\:\:\mathrm{5}}&{−\mathrm{2}−{m}}&{\:\:−{m}}\\{\:\:\:\:−\mathrm{5}}&{\:\:\:\:\:\:\mathrm{5}}&{\:\:\:\:\:\:\mathrm{3}}\end{pmatrix} \\ $$