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The system of linear equations x+λyz=0,λxyz=0,x+yλz=0 has a non-trivial solution for 

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a
one value of λ
b
two values of λ
c
three values of λ
d
Infinitely many values of λ

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detailed solution

Correct option is C

System of equations have non-trivial solution⇒Δ=0⇒1λ-1λ-1-111-λ=0⇒1(λ+1)-λ-λ2+1-1(λ+1)=0⇒λ3-λ=0⇒λλ2-1=0⇒λ=0,1,-1.


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