Question is from Intro to Linear Algebra (5th Ed) by Gilbert Strang, Chapter 6-39.
Without writing down any calculations, can you find the eigenvalues of this matrix? Also find $A^{2017}$.
$$ A = \begin{Bmatrix}
110 & 55 & -164\\
42 & 21 & -62\\
88 & 44 & -131
\end{Bmatrix} $$
Obviously one of the eigenvalues is $0$. Not sure how to find the rest without calculation.
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