A) 0
B) 1
C) 2
D) Infinite
Correct Answer: D
Solution :
For the system of given homogeneous equations \[\Delta =\left| \,\begin{matrix} 1 & \,\,1 & -1 \\ 3 & -1 & -1 \\ 1 & -3 & \,\,1 \\ \end{matrix}\, \right|=1(-1-3)-1(3+1)-1(-9+1)\] \[=-4-4+8=0\].\There are infinite number of solutions.
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