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The system of homogenous equations tx+...

The system of homogenous equations
`tx+(t+1)y+(t-1)z=0`, `(t+1)x+ty+(t+2)z=0`, `(t-1)x+(t+2)y+tz=0` has a non trivial solution for

A

three values of t

B

two values of t

C

one value of t

D

infinite number of values of t

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The correct Answer is:
C
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