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The system of linear equations   x+y+z=2,2x+yz=3,3x+2y+kz=4 has a unique solution if

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a
k≠0
b
−1< k<1
c
−2 < k<2
d
k=0

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detailed solution

Correct option is A

Augmented matrix is 111221−1332k4R2−2R10112 R3−3R10−1−3−10−1k−3−2 R3−R211120−1−3−100k−1∴ Given system of equations has a unique solution ⇒k≠0


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