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The system of linear equations
has a non-trivial solution for
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a
Infinitely many values of λ
b
exactly one values of λ
c
exactly ‘2’ values of λ
d
exactly ‘3’ values ofλ
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Correct option is D
The condition for a homogeneous system of equations to have a non-trivial solution is Δ=0⇒1 λ −1λ −1 −11 1 −λ=0⇒(λ+1)-λ-λ2+1-(λ+1)=0⇒λλ2-1=0⇒λ=0,1,-1Similar Questions
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