Question: 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 :
exactly three values of $\lambda$.
infinitely many values of $\lambda$.
exactly one value of $\lambda$.
exactly two values of $\lambda$.
Correct Option: 1,
Solution:
