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GATE Overflow Test Series | Mixed Subjects | Test 4 | Question: 5

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A matrix $A$ is orthogonal if its transpose is equal to its inverse $:A^{T} = A^{-1}$
 
 $\implies AA^{T} = AA^{-1} = I$
 
 Then $(AA^{T})^{-1} = I^{-1} = I.$

So, the correct answer is $(B).$
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