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प्रश्न
If \[A = \begin{bmatrix}\cos x & - \sin x \\ \sin x & \cos x\end{bmatrix}\] , find AAT
उत्तर
Given: ` A = [[cos x -sin x],[sin x cos x]]`
⇒ ` A^T = [[cos x sin x],[ -sin x cos x]]`
`A A^T =[[cos x -sin x],[sin x cos x]] [[cos x sin x],[ -sin x cos x]]`
`⇒A A^T =[[cos^2 x + sin^2 x cos x sin x - sin x cos x ] , [ cos x sin x - sin x cos x sin^2x+ cos^2x ]]`
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