Exams › JEE Advanced › Maths
Find the set of all values of lambda for which the system x - 2y - 2z = lambda*x, x + 2y + z = lambda*y, -x - y = lambda*z has a non-trivial solution.
- contains more than two elements
- is a singleton
- is an empty set
- contains exactly two elements
Correct answer: is a singleton
Solution
The characteristic equation yields a single (repeated/real) eigenvalue, so the set of lambda is a singleton.
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