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Eigenvalues error: “The method ”Banded“ accepts only sparse matrices with elements that are machine-real or machine-complex numbers”

I'm having one issue with the Eigenvalues function in some code priorly discussed here. There the example is tridiagonal, but here, let us consider this simple ...
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No eigenvectors coming for a very simple* matrix

I have a question regarding the same as Problem with Eigenvectors when given a matrix containing approximate numbers and symbols and Why won't Mathematica obtain eigenvectors for this symmetric ...
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JordanDecomposition: Error Mesage eivn

I want to calculate the JordanDecomposition of the follwoing matrix: That is ...