Let \( M \) and \( N \) be two \( 3 \times 3 \) non-singular skew-symmetric matrices such that \...

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Let \( M \) and \( N \) be two \( 3 \times 3 \) non-singular skew-symmetric matrices such that \( M N=N M \). If \( P^{T} \) denotes the transpose of \( P \), then \( M^{2} N^{2}\left(M^{T} N\right)^{-1}\left(M N^{-1}\right)^{T} \) is equal to
(a) \( M^{2} \)
(b) \( -N^{2} \)
(c) \( -M^{2} \)
[IIT-JEE 2011, 4M]
(d) \( M N \)
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