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The set of all values of lambda for wh...

The set of all values of `lambda` for which the system of linear equations
`2x_(1)-2x_(2)+x_(3)=lambdax_(1)`
`2x_(1)-3x_(2)+2x_(3)=lambdax_(2)`
`-x_(1)+2x_(2)=lambdax_(3)`
has a non-trivial solution,

A

is an empty set

B

is a singleton

C

contains two elements

D

contains more than two elements

Text Solution

Verified by Experts

The correct Answer is:
C
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