What is the determinant of the 4×44 \times 44×4 matrix AAA where Aij=1A_{ij} = 1Aij=1 if i=ji=ji=j and Aij=1A_{ij} = 1Aij=1 if j=i+1j=i+1j=i+1, else 000?
111
000
−1-1−1
222