matrix

A matrix P∈ R^3x3 satisfies P^3 – 4P^2 + 5P − 2I = 0 where I is a 3 × 3 identity matrix. The set of all possible eigenvalues of matrix P is ______.

Consider a matrix $A = \begin{bmatrix} 1 & 0 & 2 \\ -1 & 1 & 0 \\ 0 & 1 & 2 \end{bmatrix}$ Let $b = \begin{bmatrix} 1 \\ 3 \\ 0 \end{bmatrix}$ and $x = \begin{bmatrix} x_1 \\ x_2 \...