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Let $$A = \begin{bmatrix}0 & 0 & -1 \\0 & -1 & 0 \\-1 & 0 & 0 \end{bmatrix}$$. The only correct statement about the matrix A is
$$A$$ is a zero matrix
$$A^2 = I$$
$$A^{-1}$$ does not exist
$$A = (-1)I$$, where I is a unit matrix
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