For which of the following ordered pairs k,λ,the system of linear equations x+2y+3z=k,3x+4y+5z=4,4x+4y+4z=λis inconsistent
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a
(1,6)
b
(1,3)
c
(3,2)
d
(4,0)
answer is B.
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Detailed Solution
Augment matrix = 134 23k45444λapply:R2→R2−3R1R3→R3−4R1 ~100 23k−2−44−3k−4−8λ−4kapply:R3→R3−2R2 ~100 23k−2−44−3k00λ+2k−8System is Inconstistant , if λ+2k−8≠0satisfy by (1,3) in the given options