Let $a , \lambda , \mu \in \mathbb { R }$. Consider the system of linear equations $$\begin{aligned}
& a x + 2 y = \lambda \\
& 3 x - 2 y = \mu
\end{aligned}$$ Which of the following statement(s) is(are) correct? (A) If $a = - 3$, then the system has infinitely many solutions for all values of $\lambda$ and $\mu$ (B) If $a \neq - 3$, then the system has a unique solution for all values of $\lambda$ and $\mu$ (C) If $\lambda + \mu = 0$, then the system has infinitely many solutions for $a = - 3$ (D) If $\lambda + \mu \neq 0$, then the system has no solution for $a = - 3$
Let $a , \lambda , \mu \in \mathbb { R }$. Consider the system of linear equations
$$\begin{aligned}
& a x + 2 y = \lambda \\
& 3 x - 2 y = \mu
\end{aligned}$$
Which of the following statement(s) is(are) correct?\\
(A) If $a = - 3$, then the system has infinitely many solutions for all values of $\lambda$ and $\mu$\\
(B) If $a \neq - 3$, then the system has a unique solution for all values of $\lambda$ and $\mu$\\
(C) If $\lambda + \mu = 0$, then the system has infinitely many solutions for $a = - 3$\\
(D) If $\lambda + \mu \neq 0$, then the system has no solution for $a = - 3$