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Question

Let M and N be two 3 × 3 skew - symmetric matrices such that MN = NM. If PT denotes the transpose of P, then M2N2(MTN)1(MN1)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
Given, MT=M,NT=N and MN=NM
M2N2(MTN)1(MN1)T
M2N2N1(MT)1(N1)T.MTM2N(NN1)(M)1(NT)1(M)M2NI(M1)(N)1(M)M2NM1N1MM.(MN)M1N1M=M(NM)M1N1MMN(MM)1N1M=M(NN1)MM2

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