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

Question

$\begin{array}{1 1}(a)\;A^2=I\\(b)\;A=(-)I\;where\;I\;is\;a\;unit\;matrix\\(c)\;A^{-1}\;does\;not\;exist\\(d)\;A\;is\;a\;zero\;matrix\end{array}$