The system of equations is given by
$\begin{aligned}
\lambda x+y+z&=2,
x+\lambda y+z&=2,
x+y+\lambda z&=2.
\end{aligned}$
Determine the values of λ corresponding to each of the following cases:
a. (i) The system has a unique solution.
b. (ii) The system has infinitely many solutions.
c. (iii) The system is inconsistent (no solution).