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NDA Math Matrices

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Consider the following for the next three (03) items that follow:
Let A=(
0sin2θcos2θ
cos2θ0sin2θ
sin2θcos2θ0
) and A=P+Q where P is symmetric matrix and Q is skew-symmetric matrix.
[NDA II 2022]
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What is Q equal to ?
[NDA II 2022]
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