The set of all values of for which the system of linear equations array l x-2 y-2 z= x…
Mathematics · JEE Main · NTA Exams — Matrices and Determinants
The set of all values of λ for which the system of linear equations
\[\begin{array}{l} x-2 y-2 z=\lambda x \\ x+2 y+z=\lambda y \\ -x-y=\lambda z \end{array}\]
has a non-trivial solutions:
- is an empty set
- contains more than two elements
- is an singleton
- contains exactly two elements
Answer
(B) contains more than two elements
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