Let \( A=\left[a_{i j}\right] \), be a real matrix of order \( 3 \times 3 \), such that \( a_{i 1}+a_{i 2}+a_{i 3}=1 \) …

Let \( A=\left[a_{i j}\right] \), be a real matrix of order \( 3 \times 3 \), such that \( a_{i 1}+a_{i 2}+a_{i 3}=1 \) for \( i=1,2,3 \). Then, the sum of all entries of the matrix \( A^{3} \) is equal to:

[JEE Main 2021, 22 Jul (Shift 2)]