what is the Jordan normal form options from this minimal polynomial 𝑚𝐴(𝑥) = $𝑥^3 − 2x^2$. 4X4 matrix
I know of course that the 2 eigenvalues are 0,2.
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The characteristic polynomial is a multiple of the minimal polynomial, and they have the same irreducible factors, we face only two possibilities: $$\chi_A(x)=x^3(x-2),\quad\chi_A(x)=x^2(x-2)^2.$$