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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, (1) is an empty set (2) is a singleton (3) contains two elements (4) contains more than two elements

A

is an empty set

B

is a singleton

C

contains `2` elements

D

contains more than `2` elements

Text Solution

Verified by Experts

The correct Answer is:
C
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