Is there any relation between Minimal polynomial of a matrix in $M(n,\mathbb C)$ and its diagonalizablity? I want to mean looking at the roots of minimal or characteristic polynomial can we say about its diagonalizablity?
2026-04-03 18:45:32.1775241932
Is there any relation between Minimal polynomial of a matrix in M(n,C) and its diagonalizablity?
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A matrix $A \in \mathrm{Mat}_n(\mathbb C)$ is diagonizable iff all roots of is minimal polynomial are simple.