A) \[3\omega \]
B) \[3\omega (\omega -1)\]
C) \[3{{\omega }^{2}}\]
D) \[3\omega (1-\omega )\]
Correct Answer: B
Solution :
\[\Delta =\left| \,\begin{matrix} 3 & 1 & 1 \\ 0 & -1-{{\omega }^{2}} & {{\omega }^{2}} \\ 0 & {{\omega }^{2}} & \omega \\ \end{matrix}\, \right|\] \[({{C}_{1}}\to {{C}_{1}}+{{C}_{2}}+{{C}_{3}})\] \[(\because \,\,1+\omega +{{\omega }^{2}}=0)\] \[=3\,[\omega .\omega -{{\omega }^{4}}]=3({{\omega }^{2}}-\omega )\] \[=3\omega (\omega -1)\].You need to login to perform this action.
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