The value of $x,$ if $\left| \begin{matrix} -x & 1 & 0 \\ 1 & -x & 1 \\ 0 & 1 & -x \end{matrix} \right| = 0$ is equal to

  • A
    $0, \pm \sqrt{2}$
  • B
    $0, \pm \sqrt{2}$
  • C
    $0, \pm \sqrt{3}$
  • D
    $\pm \sqrt{2}, \pm \sqrt{3}$

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