The determinant of the n × n permutation matrix \(\begin{bmatrix} & & & & & & 1\\\ & & & & & 1 &\\\ & & & & . & & \\\ & & & . \\\ & & . \\\ & 1 \\\ 1 \end{bmatrix}\)

1
(-1)n
2
\( (-1)^{\left[\frac{n}{2}\right]} \)
3
-1
4
1

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