In the interval `pi/2 lt x lt pi,` find the value of `x` for which the matrix `[(2sinx,3), (1 ,2sinx)]` is singular

Explanation

To find the value of \( x \) in the interval \( \frac{\pi}{2} < x < \pi \) for which the matrix

\[ A = \begin{pmatrix} 2\sin x & 3 \\ 1 & 2\sin x \end{pmatrix} \]

is singular, we follow these steps:

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