Let S be the set of all $\lambda $ $ \in $ R for which the system of linear equations 2x – y + 2z = 2 x – 2y + $\lambda $z = –4 x + $\lambda $y + z = 4 has no solution. Then the set S :

Question

Let S be the set of all $\lambda $ $ \in $ R for which the system of linear equations

2x – y + 2z = 2
x – 2y + $\lambda $z = –4
x + $\lambda $y + z = 4

has no solution. Then the set S :

contains more than two elements.

contains exactly two elements.

is a singleton.

is an empty set.

Solution

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