If \( \left|\begin{array}{lll}a_{1} & b_{1} & c_{1} \\ a_{2...

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If \( \left|\begin{array}{lll}a_{1} & b_{1} & c_{1} \\ a_{2} & b_{2} & c_{2} \\ a_{3} & b_{3} & c_{3}\end{array}\right|=5 \) then the value of \( \left|\begin{array}{lll}b_{2} c_{3}-b_{3} c_{2} & a_{3} c_{2}-a_{2} c_{3} & a_{2} b_{3}-a_{3} b_{2} \\ b_{3} c_{1}-b_{1} c_{3} & a_{1} c_{3}-a_{3} c_{1} & a_{3} b_{1}-a_{1} b_{3} \\ b_{1} c_{2}-b_{2} c_{1} & a_{2} c_{1}-a_{1} c_{2} & a_{1} b_{2}-a_{2} b_{1}\end{array}\right| \)
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