The system of linear equations x+\lambday-z=0 \lambdax-y-z=0 x+y-\lambdaz=0 has a non- trivial solution for : [Main 2016]

Correct Answer is : exactly three values of λ

exactly three values of \lambda

infinitely many values of \lambda

Matrices and Determinants Part 1

Section: Mathematics

Question : 66 of 100

Marks: +1, -0

The system of linear equations
x+λy−z=0
λx−y−z=0
x+y−λz=0
has a non- trivial solution for :

[Main 2016]

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