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The system of equations λx+y+z=0-x+λy+z=0-x-y+λz=0 will have a non-trivial solution if real values of λ are 

 

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detailed solution

Correct option is D

The system of equation will have a non-trivial solution if and only if∆=0 where Δ=λ11-1λ1-1-1λ=λ3+3λ=λλ2+1Thus , Δ=0,λ∈R⇒λ=0


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