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A matrix \(P\in\mathbb{R}^{3\times3}\) satisfies \(P^3-4P^2+5P-2I=0\), where \(I\) is a \(3\times3\) identity matrix.
The set of all possible eigenvalues of matrix \(P\) is ____.
GATE IN - 2026
GATE IN
Engineering Mathematics
Linear Algebra (Eigenvalues and the Cayley-Hamilton style polynomial)