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See https://doc.sagemath.org/html/en/reference/matrices/sage/matrix/matrix2.html#sage.matrix.matrix2.Matrix.jordan_form in particular the example with the transformation=True option.

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See https://doc.sagemath.org/html/en/reference/matrices/sage/matrix/matrix2.html#sage.matrix.matrix2.Matrix.jordan_form in particular the example examples with the transformation=True option.