Concept:The inverse of a 2×2 matrix is found using its determinant and the adjugate matrix.Explanation:First simplify the given matrix using i2=−1 and i3=−i.A=[2ii2i31]=[2i−1−i1]For a matrix [acbd], the inverse is:A−1=ad−bc1[d−c−ba]Here, a=2i, b=−i, c=−1, d=1.Compute the determinant:ad−bc=(2i)(1)−(−i)(−1)=2i−i=iTherefore,A−1=i1[11i2i]Since i1=−i, multiply:A−1=−i[11i2i]=[−i−i12]Answer:A−1=[−i−i12]Hence, the correct option is Option A.