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

Question

Let $$A = \left( {\matrix{ 0 & 0 & { - 1} \cr 0 & { - 1} & 0 \cr { - 1} & 0 & 0 \cr } } \right)$$. The only correct

statement about the matrix $A$ is

${A^2} = 1$

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

${A^{ - 1}}$ does not exist

$A$ is a zero matrix

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