question_answer

The system of linear equations

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

\[\lambda x-y-z=0\]

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

has a non-trivial solution for

A)  exactly one value of \[\lambda \].

B)  exactly two values of\[\lambda \].

C)  exactly three values of \[\lambda \].

D)  infinitely many values of \[\lambda \].

E)  None of these