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The system of linear equations x+lambd...

The system of linear equations
`x+lambday-z=0`
`lambdax-y-z=0`
`x+y-lambdaz=0`
has a non-trivial solution for

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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