Let \( A=\left[a_{i j}\right] \) and \( B=\left[b_{i j}\right] \) be two \( 3 \times 3 \) real matrices such that \( b_{…

Let \( A=\left[a_{i j}\right] \) and \( B=\left[b_{i j}\right] \) be two \( 3 \times 3 \) real matrices such that \( b_{i j}=(3)^{(i+j-2)} a_{ij} \), where \( i, j=1,2,3 \). If the determinant of \( B \) is \(81\) , then the determinant of \( A \) is:

[JEE Main 2020, 7 Jan (Shift 2)]