The set of all values of $\lambda $ for which the system of linear equations x – 2y – 2z = $\lambda $x x + 2y + z = $\lambda $y – x – y = $\lambda $z has a non-trivial solutions :

Question

The set of all values of $\lambda $ for which the system of linear equations
x – 2y – 2z = $\lambda $x
x + 2y + z = $\lambda $y
– x – y = $\lambda $z
has a non-trivial solutions :

is an empty set

contains more than two elements

is a singleton

contains exactly two elements

Solution

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