Concept:The cofactor of an entry aij in a matrix is (−1)i+j times its minor (determinant of submatrix after removing row i and column j). The cofactor matrix is formed by all such cofactors.Explanation:Let A=123343141.Compute each cofactor Cij:C11=(−1)1+1⋅det[4341]=1⋅(4⋅1−4⋅3)=4−12=−8C12=(−1)1+2⋅det[2341]=−1⋅(2⋅1−4⋅3)=−(2−12)=10C13=(−1)1+3⋅det[2343]=1⋅(2⋅3−4⋅3)=6−12=−6C21=(−1)2+1⋅det[3311]=−1⋅(3⋅1−1⋅3)=−0=0C22=(−1)2+2⋅det[1311]=1⋅(1⋅1−1⋅3)=1−3=−2C23=(−1)2+3⋅det[1333]=−1⋅(1⋅3−3⋅3)=−(3−9)=6C31=(−1)3+1⋅det[3414]=1⋅(3⋅4−1⋅4)=12−4=8C32=(−1)3+2⋅det[1214]=−1⋅(1⋅4−1⋅2)=−(4−2)=−2C33=(−1)3+3⋅det[1234]=1⋅(1⋅4−3⋅2)=4−6=−2Thus the cofactor matrix is −80810−2−2−66−2.Answer:Option A: −80810−2−2−66−2