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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?
(B) and (E) only
(C) and (D) only
(A) and (E) only
(A) and (D) only

Solution

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