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4
votes
Accepted
Eigenvalues of a specific matrix
For the signed circulant matrix
$$U:=\left[\begin{matrix}
& 1 & & & \\
& & \ddots & & \\
& & & 1 &\\
-1 & & & &
\end{matrix}\right]
\mbox{ in }
M_n(\mathbb{C}),$$
one has
$$M= 1 \otimes I_0 …