Minimum annihilating polynomial of matrix $A$ of order $n$ is equal to $(λ + 1)^2(λ - 2)$. What can be said about the minimal annihilating polynomial of matrix $A^2$? Justify the answer.
While working on a solution, I noticed that the eigenvalues must be squared, so we get $(t−1)^2(t−4)$. Nevertheless, I'm not certain about my findings and where to go next.