Consider the system of linear equations $x + y + z = 5$, $x + 2y + \lambda^2 z = 9$ and $x + 3y + \lambda z = \mu$, where $\lambda, \mu \in R$. Then, which of the following statement is NOT correct?\\
(1) System has infinite number of solution if $\lambda = 1$\\
(2) System is inconsistent if $\lambda = 1$ and $\mu \neq 13$ and $\mu = 13$\\
(3) System has unique solution if $\lambda \neq 1$ and $\mu \neq 13$\\
(4) System is consistent if $\lambda \neq 1$ and $\mu = 13$