A) Independent of \[\alpha ,\beta \] and \[\gamma \]
B) Dependent on \[\alpha ,\beta \] and \[\gamma \]
C) Independent of \[\alpha ,\beta \] only
D) Independent of \[\alpha ,\gamma \] only
Correct Answer: A
Solution :
[a] \[{{C}_{1}}\to {{C}_{1}}-{{C}_{2}}\] \[\Rightarrow \left| \begin{matrix} 4 & {{({{e}^{i\alpha }}-{{e}^{-i\alpha }})}^{2}} & 4 \\ 4 & {{({{e}^{i\beta }}-{{e}^{-i\beta }})}^{2}} & 4 \\ 4 & {{({{e}^{i\gamma }}-{{e}^{-i\gamma }})}^{2}} & 4 \\ \end{matrix} \right|=0\]You need to login to perform this action.
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