For the system of linear equations:
\( x - 2y = 1 \)
\( x - y + kz = -2 \)
\( ky + 4z = 6, \; k \in \mathbb{R} \),
Consider the following statements:
(A) The system has unique solution if \( k \neq 2, \, k \neq -2 \).
(B) The system has unique solution if \( k = -2 \).
(C) The system has unique solution if \( k = 2 \).
(D) The system has no-solution if \( k = 2 \).
(E) The system has infinite number of solutions if \( k \neq -2 \).
Which of the following statements are correct?
