The system of linear equations array l x+ y-z=0 x-y-z=0 x+y- z=0 array has a non-trivial…
Mathematics · JEE Main · NTA Exams — Matrices and Determinants
The system of linear equations
\(\begin{array}{l} x+\lambda y-z=0 \\ \lambda x-y-z=0 \\ x+y-\lambda z=0 \end{array}\)
has a non-trivial solution for:
- infinitely many values of λ
- exactly one value of λ
- exactly two values of λ
- exactly three values of λ
Answer
(D) exactly three values of
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