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

The set of all values of `lambda` for which the system of linear equations `2x_(1)-2x_(2)+x_(3)=lambda x_(1), 2x_(1)-2x_(2)+2x_(3)=lambda x_(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 elements

Text Solution

Verified by Experts

The correct Answer is:
C
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