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