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## Main Question or Discussion Point

Hi,

I am studying about circulant matrices, and I have seen that one of the properties of such matrices is the eigenvalues which some combinations of roots of unity.

I am trying to understand why it is like that. In all the places I have searched they just

Thank you.

I am studying about circulant matrices, and I have seen that one of the properties of such matrices is the eigenvalues which some combinations of roots of unity.

I am trying to understand why it is like that. In all the places I have searched they just

__show that it is true__, but I would like to know__(obviously it's not a guess...).__**how**Thank you.