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If the system of equations x+y+z=6,x+2y+λz=0,  x+2y+3z=10  has no solution then  λ=

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detailed solution

Correct option is B

Augmented matrix is 11161231012λ0R2−R1R3−R1~1116012401λ−1−6R3−R2~1116012400λ−310∴ Given system of equations has no solution ⇒λ−3=0⇒λ=3


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