Let \( A=\left[a_{i j}\right] \) be a matrix of order math xmlns=http://www.w3.org/1998/Math/Mat...
Let \( A=\left[a_{i j}\right] \) be a matrix of order math xmlns=http://www.w3.org/1998/Math/MathML class=wrs_chemistrymn2/mn/math where \( a_{i j} \in\{-1,0,1\} \) and math xmlns=http://www.w3.org/1998/Math/MathML class=wrs_chemistrymiadj/mimo./mo/math \( A=-A \). If math xmlns=http://www.w3.org/1998/Math/MathML class=wrs_chemistrymidet/mimo./mo/math \( (A)=-1 \), then the number of such matrices is _________.
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