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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: exactly three values of `lambda` infinitely many values of `lambda` exactly one value of `lambda` exactly two 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`

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The correct Answer is:
C
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