Science:Math Exam Resources/Courses/MATH221/December 2019/Question 05 (c)/Statement

Let

$$A={\begin{bmatrix}4&0&2\\0&3&0\\-1&0&1\end{bmatrix}}$$

Write down an invertible matrix $P$ so that $P^{-1}AP$ is a diagonal matrix, or state that no such $P$ exists.