GATE 2014 · session-2
The product of the nonzero eigenvalues of the matrix
\[
\begin{bmatrix}
1&0&0&0&1\\
0&1&1&1&0\\
0&1&1&1&0\\
0&1&1&1&0\\
1&0&0&0&1
\end{bmatrix}
\]
is __________.
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