Addition algorithm of determinant: Generally speaking, two determinants cannot be added directly, and the corresponding values should be calculated first and then added.

But for two determinants with exactly the same elements except one row or one column, they can be written as the determinant formed by adding the corresponding rows or columns. Determinant is a function in mathematics, its domain is matrix A of det, and its value is a scalar, denoted as det(A) or |A|. Whether in linear algebra, polynomial theory or calculus (such as substitution integral method), determinant, as a basic mathematical tool, has important applications. Determinant can be regarded as a generalization of the concept of directed area or volume in general Euclidean space. In other words, in N-dimensional Euclidean space, determinant describes the influence of a linear transformation on "volume".