A) 1
B) \[-z\]
C) z
D) -1
Correct Answer: B
Solution :
Here \[\omega \]is complex cube root of unity \[{{R}_{1}}\to {{R}_{1}}+{{R}_{2}}+{{R}_{3}}\] \[=\left| \begin{matrix} 3 & 0 & 0 \\ 1 & -{{\omega }^{2}}-1 & {{\omega }^{2}} \\ 1 & {{\omega }^{2}} & \omega \\ \end{matrix} \right|\] \[=3(-1-\omega -\omega )=-3z\Rightarrow k=-z\]You need to login to perform this action.
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