A) - 1
B) 0
C) 1
D) - 3
Correct Answer: D
Solution :
The given system of homogeneous equations has a non-zero solution if, \[\Delta =0\] i.e., \[\left| \,\begin{matrix} 1 & \,\,\,1 & -1 \\ 3 & -\alpha & -3 \\ 1 & -3 & \,\,\,1 \\ \end{matrix}\, \right|=-2\alpha -6=0\],i.e. if \[\alpha =-3\].
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