A) A unique solution
B) No solutions
C) An infinite number of solutions
D) Zero solution as the only solution
Correct Answer: A
Solution :
Given system of equation can be written as \[\left[ \,\begin{matrix} 1 & 1 & 1 \\ 3 & -1 & 2 \\ 3 & 1 & 1 \\ \end{matrix}\, \right]\,\left[ \begin{align} & x \\ & y \\ & z \\ \end{align} \right]=\left[ \begin{align} & \,\,\,2 \\ & \,\,\,6 \\ & -18 \\ \end{align} \right]\] On solving the above system we get the unique solution x = - 10, y = - 4, z = 16.
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