Concept:The determinant of a complex matrix yields a complex number A+iB. We compute it using the standard expansion formula.Explanation:Let the matrix be ​23−i−1​3+i0−i​−1i1​​.Compute each minor determinant:First minor: (0)(1)−(i)(−i)=0−(−1)=1.Second minor: (3−i)(1)−(i)(−1)=3−i+i=3.Third minor: (3−i)(−i)−(0)(−1)=−3i+i2=−3i−1.Now expansion: Δ=2(1)−(3+i)(3)+(−1)(−1−3i).Simplify: 2−9−3i+1+3i=−6+0i.Thus A=−6 and B=0. Therefore A+B=−6+0=−6.Answer:Option B: −6.