Question
यदि आव्यूह $\left[ {\begin{array}{*{20}{c}}1&2&3\\4&5&6\\3&\lambda &5\end{array}} \right]$ एक व्युत्क्रमणीय आव्यूह हो, तो $\lambda $ का मान नहीं हो सकता है
यदि $\left| {\,\begin{array}{*{20}{c}}1&2&3\\4&5&6\\3&\lambda &5\end{array}\,} \right| \ne 0$
$\Rightarrow$ $\,1(25 - 6\lambda ) - 2(20 - 18) + 3(4\lambda - 15) \ne 0$
$\Rightarrow$ $25 - 6\lambda - 4 + 12\lambda - 45 \ne 0$ $6\lambda - 24 \ne 0$
$\Rightarrow$ $\lambda \ne 4$.
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