If m= bmatrix 1&0 0&1 bmatrix and n= bmatrix 0&1 -1&0 bmatrix , then what is the value of the determinant of m -n ?

NDA 2016 Mathematics question

If and , then what is the value of the determinant of ?

Answer: (C)

\cos\sin\begin{bmatrix}$θ&-θ

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Question ID VK-028476