A) \[k\ne 0\]
B) \[-1<k<1\]
C) \[-2<k<2\]
D) \[k=0\]
Correct Answer: A
Solution :
The given system of equations has a unique solution if \[\left| \,\begin{matrix} 1 & 1 & 1 \\ 2 & 1 & -1 \\ 3 & 2 & k \\ \end{matrix}\, \right|\ne 0\Rightarrow k\ne 0\].
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