Question

If X=[cosθsinθsinθcosθ]X = \begin{bmatrix} \cos \theta & \sin \theta \\ -\sin \theta & \cos \theta \end{bmatrix}, then XXTXX^T is

MCQ

[0110]\begin{bmatrix} 0 & 1 \\ 1 & 0 \end{bmatrix}

[1001]\begin{bmatrix} -1 & 0 \\ 0 & -1 \end{bmatrix}

[1001]\begin{bmatrix} 1 & 0 \\ 0 & 1 \end{bmatrix}

[0110]\begin{bmatrix} 0 & -1 \\ -1 & 0 \end{bmatrix}

Solutions
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