If \( A=\left[\begin{array}{ccc}1 & -1 & 1 \\ 2 & -1 & 0 \\ 1 & 0 &...

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If \( A=\left[\begin{array}{ccc}1 & -1 & 1 \\ 2 & -1 & 0 \\ 1 & 0 & 0\end{array}\right] \), then
(a) \( A^{3}=I \)
(b) \( A^{-1}=A^{2} \)
(c) \( A^{n}=A \forall n \neq 4 \)
(d) none of these
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