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The system of linear equations x+lambday...

The system of linear equations `x+lambday-z=0`, `lambdax-y-z=0`, `x+y-lambdaz=0` has a non-trivial solution for : (1) infinitely many values of `lambda` . (2) exactly one value of `lambda` . (3) exactly two values of `lambda` . (4) exactly three values of `lambda` .

A

Exactly one value of `lambda`

B

Exactly two values of `lambda`

C

Exactly three values of `lambda`

D

Infinitely many values of `lambda`

Text Solution

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The correct Answer is:
C
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