Quasideterminant
In mathematics, the quasideterminant is a replacement for the determinant for matrices with noncommutative entries. Example 2 × 2 quasideterminants are as follows: | a 11 a 12 a 21 a 22 | 11 = a 11 − a 12 a 22 − 1 a 21 | a 11 a 12 a 21 a 22 | 12 = a 12 − a 11 a 21 − 1 a 22 .