Matrices and Determinants: JEE Main 2021 Mathematics question

For the system of linear equations: $x - 2y = 1,x - y + kz = - 2,ky + 4z = 6,k \in R$, consider the following statements : (A) The system has unique solution if $k \ne 2,k \ne - 2$. (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 $\ne$ $-$2. Which of the following statements are correct?