Find the two values of the constant \(k\) for which the equations

\(\begin{aligned}kx+y+z&=2\\x+ky+z&=-1\\x+y+kz&=-1\end{aligned}\)

have no unique solution.

Show that, for one of these values of \(k\), the equations have no solution, and solve the equations for the other value of \(k\).