A) \[\Delta =0\]
B) \[\Delta =1\]
C) \[\Delta =2\]
D) \[\Delta =3\]
Correct Answer: A
Solution :
We have \[\Delta =\left| \begin{matrix} 1 & \omega & 2{{\omega }^{2}} \\ 2 & 2{{\omega }^{2}} & 4{{\omega }^{3}} \\ 3 & 3{{\omega }^{3}} & 6{{\omega }^{4}} \\ \end{matrix} \right|=2\omega \left| \begin{matrix} 1 & \omega & \omega \\ 2 & 2{{\omega }^{2}} & 2{{\omega }^{2}} \\ 3 & 3{{\omega }^{3}} & 3{{\omega }^{3}} \\ \end{matrix} \right|=0\]You need to login to perform this action.
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