A) \[l=m+n\]
B) \[m=l+n\]
C) \[n=l+m\]
D) \[l+m+n=0\]
Correct Answer: D
Solution :
\[\left| \,\begin{matrix} l & m & n \\ m & n & l \\ n & l & m \\ \end{matrix}\, \right|=0\Rightarrow \left| \begin{matrix} l+m+n & m & n \\ l+m+n & n & l \\ l+m+n & l & m \\ \end{matrix} \right|=0\] Þ \[(l+m+n)\left| \,\begin{matrix} 1 & m & n \\ 1 & n & l \\ 1 & l & m \\ \end{matrix}\, \right|=0\Rightarrow (l+m+n)=0\].You need to login to perform this action.
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