In mathematics, determinant is a function of matrix A whose domain is det, and its value is scalar, which is 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".
Extended data
Mathematical definition of determinant
N-order determinant
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.
Where k 1, k2, ..., kn are exchanged by the sequence 1, 2, ..., n represents k times, and σ represents k 1, k2, ..., kn.
References:
Baidu encyclopedia determinant