If $A = \begin{bmatrix} 0 & 0 & -1 \\ 0 & -1 & 0 \\ -1 & 0 & 0 \end{bmatrix}$, then which of the following is true?

  • A
    $A^2 = A^{-1}$
  • B
    $A = -(adj A)$
  • C
    $A^{-1} = A$
  • D
    $A^{-1} = -A$

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