A) 0
B) 1
C) 2
D) Infinite
Correct Answer: B
Solution :
The given system of homogeneous equations has \[\Delta =\left| \,\begin{matrix} 1 & \,\,4 & -1 \\ 3 & -4 & -1 \\ 1 & -3 & \,\,\,1 \\ \end{matrix} \right|=1(-4-3)-4(3+1)-1(-9+4)\] \[=-7-16+5\ne 0\]. There exists only one trivial solution.
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