N is a 2 x n matrix:(adsbygoogle = window.adsbygoogle || []).push({});

N =

1 2 3 4 ... n-1 n

n n-1 .... 4 3 2 1

then N^2 =

1 2 3 4 ... n-1 n

1 2 3 4 ... n-1 n

You COULD use the theorem: sgn(N^2) = sgn(N)sgn(N)

however, im asked to find sgn(N^2) by the traditional method: sgn(N^2) = (-1)^([L1 - 1] + [L2 - 1].....) where L represents the respective lengths of each cycle. However, N^2 has no cycles, so im confused.

How would I go about this? thanks.

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# No cycles in permutation N how to calculate sgn(N^2)?

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