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Matriceshard
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The minimal polynomial of a matrix AAA is the monic polynomial of lowest degree such that p(A)=0p(A) = 0p(A)=0. It divides the characteristic polynomial. For the upper triangular matrix A=(210020003)A = \begin{pmatrix} 2 & 1 & 0 \\ 0 & 2 & 0 \\ 0 & 0 & 3 \end{pmatrix}A=​200​120​003​​, what is the minimal polynomial?