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The values of k for which the system of ...

The values of `k` for which the system of equations `kx+y+z=0,x-ky+z=0` and `x+y+z=0` possesses non-trivial solution. Are

A

Both 1 and 2

B

Both 2 and 3

C

Both 1 and 3

D

1,2, and 3

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