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Calculate-and-factorize-for-m-R-The-caracteristic-polynom-of-A-2-m-5-m-m-5-2-m-m-5-5-3-




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

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