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The system of equations lambdax + (lambd...

The system of equations `lambdax + (lambda+ 1) y+ (lambda- 1)z=0,(lambda+1)x+lambday+(lambda+z)z=0,(lambda-1)x+(lambda+2)y+lambdaz=`bas a non-trivial solutions for

A

exactly three real value of `lambda`

B

exactly two real values of `lambda`

C

exactly three real value of `lambda`

D

infinitely many real value of `lambda`

Text Solution

Verified by Experts

The correct Answer is:
C
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