A) No solution
B) Exactly one solution
C) Infinite solutions
D) None of these
Correct Answer: C
Solution :
\[D=\left| \,\begin{matrix} 1 & -1 & 1 \\ 3 & -1 & 2 \\ 3 & 1 & 1 \\ \end{matrix}\, \right|\,=\,1[-1-2]-1[6-3]+1[3+3]=0\] and\[{{D}_{1}}=\left| \,\begin{matrix} 2 & -1 & 1 \\ -6 & -1 & 2 \\ -18 & 1 & 1 \\ \end{matrix}\, \right|\,=2(-1-2)-1(-36+6)+1(-6-18)\] \[=-6+30-24=0\] Also, \[{{D}_{2}}=0;\,{{D}_{3}}=0\] So the system is consistent \[(D={{D}_{1}}={{D}_{2}}={{D}_{3}}=0)\] i.e. system has infinite solution.You need to login to perform this action.
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