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Matrices and Determinants question

2021 · 24 Feb · Shift 2 · Q26

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JEE Main
Mathematics
Matrices and Determinants
2021 · 24 Feb · Shift 2 · Q26

Matrices and Determinants question

2021 · 24 Feb · Shift 2 · Q26

JEE MainMathematicsMatrices and DeterminantsMCQ+4 / −1

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 e 2,k e - 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

e -

2. Which of the following statements are correct?

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

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