Let $A=\left(\begin{array}{ccc}0 & 0 & -1 \\ 0 & -1 & 0 \\ -1 & 0 & 0\end{array}\right)$ The only correct statement about the matrix $A$ is

• A

  $A$ is a zero matrix
• Correct answer
  B

  $A^2=I$
• C

  $\mathrm{A}^{-1}$ does not exist
• D

  $A=(-1) I$, where $I$ is a unit matrix

Hence, the correct answer is option: 'B'.