When does it occur that the eigenvalues of a Discrete Fourier Transform matrix are distinct?
Discrete Fourier Transform Matrix (DFT)
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matrices
fourier-analysis
1 Answers
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The eigenvalues of the DFT matrix are treated here. They are distinct for $n<4$; for $n=4$ the eigenvalue $1$ is double and beginning with $n=9$ all four eigenvalues are multiple.
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0@user12290: It's all right there in the article I linked to. – 2011-07-03