A) \[1\]
B) \[2\]
C) \[4\]
D) \[5\]
Correct Answer: D
Solution :
Given, system of linear homogeneous equation, \[2x-y+z=0\] \[ax-y+2z=0\] \[x-2y+z=0\] If the system have non-zero solution, then \[D=0\] \[\left| \begin{matrix} 2 & -1 & 1 \\ a & -1 & 2 \\ 1 & -2 & 1 \\ \end{matrix} \right|=0\] \[\Rightarrow \] \[2(-1+4)+(a-2)+(-2a+1)=0\] \[\Rightarrow \] \[6+a-2-2a+1=0\] \[\Rightarrow \] \[-a+5=0\,\,\Rightarrow a=5\]You need to login to perform this action.
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