Let M and N be two even order non-singular skew symmetric matrices such that MN = NM. If PT denotes the transpose of P, then M2N2(MTN)−1(MN−1)T is equal to.
A
M2
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B
−N2
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C
−M2
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D
MN
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Solution
The correct option is C−M2 M2N2(MTN)−1(MN−1)T =M2N2N−1(MT)−1(N−1)TMT =−M2N2N−1M−1N−1M =−M2NM−1N−1M =−MNN−1m=−M2