Mathematically, determinant is a function of matrix A whose domain is det, and its value is scalar, and it is denoted as det(A) or | A |. Is made up of n arranged in an n-order square matrix? The number aiji (I, j = 1, 2, ..., n), whose value is n! The sum of projects.

Extended data:

A row (or a column) in determinant A is multiplied by the same number k, and the result is equal to kA. The determinant A is equal to its transposed determinant AT (the I-th row of AT is the I-th column of A). If a row (or a column) in the n-order determinant |αij|; The determinant |αij| is the sum of two determinants, where the first row (or column) is B 1, B2, ..., bn; The other is с 1, с 2, …, с n; The elements in other rows (or columns) are exactly the same as those in |αij|.

Two rows (or columns) in determinant A are interchanged, and the result is equal to-A. Multiply each element in one row (or column) of determinant A by a number, and then add it to each corresponding element in another row (or column), and the result is still A.