Matrix/Characteristic polynomial/Eigenvalues/-2 -4 2 0 2 3 0 6 1/Exercise

Determine the characteristic polynomial and the eigenvalues of the linear mapping

$\varphi \colon \mathbb {R} ^{3}\longrightarrow \mathbb {R} ^{3},$

given by the matrix

${}A={\begin{pmatrix}-2&-4&2\\0&2&3\\0&6&1\end{pmatrix}}\,$

with respect to the standard basis.

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