What is the inverse of the matrix A= (\table \cos\theta,\sin\theta,0;-\sin\theta,\cos\theta,0;0,0,1) ? [NDA I 2018]

Correct Answer is : (cosθ−sinθ0sinθcosθ0001)

(\table \cos\theta,-\sin\theta,0;\sin\theta,\cos\theta,0;0,0,1)

(\table \cos\theta,0,-\sin\theta;0,1,0;\sin\theta,0,\cos\theta)

(\table 1,0,0;0,\cos\theta,-\sin\theta;0,\sin\theta,\cos\theta)

(\table \cos\theta,\sin\theta,0;-\sin\theta,\cos\theta,0;0,0,1)

UPSC NDA I 2018 Mathematics Solved Paper

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What is the inverse of the matrix A= (

) ?

[NDA I 2018]

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