A) - 75
B) 25
C) 0
D) - 25
Correct Answer: D
Solution :
\[\left| \,\begin{matrix} 4 & -6 & 1 \\ -1 & -1 & 1 \\ -4 & 11 & -1 \\ \end{matrix}\, \right|=\left| \,\begin{matrix} 0 & 5 & 0 \\ -1 & -1 & 1 \\ -4 & 11 & -1 \\ \end{matrix}\, \right|\]\[\{\text{Apply }{{R}_{\text{1}}}\to {{R}_{1}}+{{R}_{3}}\}\] = \[-5\,(1+4)=-25\].
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