Teaching NVS PGT 2024 Test Series Mathematics Matrices Operations on Matrices

Let \(A = \left( {\begin{array}{*{20}{c}} 0&0&{ - 1}\\ 0&{ - 1}&0\\ { - 1}&0&0 \end{array}} \right)\), the only correct statement about the matrix A is

1
A2 = I
2
A = (-1)I, where I is a unit matrix 
3
A-1 does not exist
4
A is a zero matrix 
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