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    Jordan Matrix Decomposition

    Usage

    JordanDecomposition[m] yields the Jordan decomposition of a square matrix m. The result is a list {s, j} where s is a similarity matrix and j is the Jordan canonical form of m.

    Basic example

    Find the Jordan decomposition of a 3×3 matrix: In[1]:=JordanDecomposition[{{27, 48, 81}, {-6, 0, 0}, {1, 0, 3}}] Out[1]={{{3, 18, 2}, {-3, -9, -1/4}, {1, 2, 0}}, {{6, 0, 0}, {0, 12, 1}, {0, 0, 12}}} Format the results: In[2]:=Map[MatrixForm, %] Out[2]={(3 | 18 | 2 -3 | -9 | -1/4 1 | 2 | 0), (6 | 0 | 0 0 | 12 | 1 0 | 0 | 12)}

    Relationships with other entities

    Marie Ennemond Camille Jordan

    Eigensystem | SingularValueDecomposition | QRDecomposition | SchurDecomposition | MatrixExp | Minors

    Relationships with other entities

    History

    introduced in Version 3 (September 1996) last modified in Version 8 (November 2010)

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