For the system of linear equations: x − 2y = 1, x − y + kz = −2, ky + 4z = 6,k ∈ R
Consider the following statements:
(A) The system has unique solution if k ≠ 2,k ≠ −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 ≠ -2.
Which of the following statements are correct?
1
(B) and (E) only
2
(C) and (D) only
3
(A) and (D) only
4
(A) and (E) only