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JordanDecomposition

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Jordan decomposition (similarity matrix and Jordan form) of a square matrix

JordanDecomposition[m]
Map[MatrixForm, JordanDecomposition[HilbertMatrix[2]]] → {MatrixForm[{{(2 + Sqrt[13])/3, (2 - Sqrt[13])/3}, {1, 1}}], MatrixForm[{{(4 + Sqrt[13])/6, 0}, {0, (4 - Sqrt[13])/6}}]}
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EigensystemSingularValueDecompositionQRDecompositionSchurDecompositionMatrixExpMatrixFunctionMinorsEigenvaluesEigenvectorsFrobeniusReduceJordanReduce

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