# Diagonalize matrix and find rotation-dilation matrix

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 $$C$$?

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