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Q100Section II (Mathematics)100 of 180

Orthogonal matrix — the inverse is the transpose

If A=(cos⁡θsin⁡θ0−sin⁡θcos⁡θ0001)A=\begin{pmatrix}\cos\theta&\sin\theta&0\\-\sin\theta&\cos\theta&0\\0&0&1\end{pmatrix} is the matrix of orthogonal transformation of a rigid body with one fixed point, then A−1A^{-1} is given by:

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