Consider the system of linear equations in \( \mathrm{x}, \mathrm{y} \) and \( \mathrm{z} \) giv...

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Consider the system of linear equations in \( \mathrm{x}, \mathrm{y} \) and \( \mathrm{z} \) given by \( (\sin 3 \theta) x-y+z=0,(\cos 2 \theta) x+4 y+3 z=0,2 x+7 y \) \( +7 z=0 \). Find the values of \( \theta \) for which the system has a non-trivial solution.
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