JEE Math Practice Question

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

1. A.$${A^2} = 1$$
2. B.$$A=(-1)I,$$ where $$I$$ is a unit matrix
3. C.$${A^{ - 1}}$$ does not exist
4. D.$$A$$ is a zero matrix