Given a 3×33 \times 33×3 matrix AAA where Aij=(−1)i+j⋅2i−jA_{ij} = (-1)^{i+j} \cdot 2^{i-j}Aij=(−1)i+j⋅2i−j, what is the value of det(A)\det(A)det(A)?
000
111
888
−8-8−8