Diagonalize the following matrix: \begin{bmatrix}0&1\\-5&-2\end{bmatrix}

Also write it in form $PCP^{-1}$, where $C$ is a rotation-dilation matrix.

How would I approach this problem? How do I find $P$ and $C$?

  • $\begingroup$ Do you know what “diagonalize” means? Start with that. $\endgroup$ – amd Dec 15 '18 at 20:06

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