question_answer

If the trivial solution is the only solution of the system of equations

\[x-ky+z=0\]

\[kx+3y-kz=0\]

\[3x+y-z=0\]

Then, the set of all values of k is

A)  \[\{2,-3\}\]                   

B)  \[R-\{2,-3\}\]

C)  \[R-\{2\}\]                    

D)  \[R-\{-3\}\]

E)  None of these