Determinant and cross-product

Determinant type

Determinant in mathematics, is a function that defines the field as a Det matrix A, takes a scalar, writes Det (a) or | A |. The determinant can be seen as a generalization of the concept of a direction area or volume in a general Euclidean space. Or, in n-dimensional Euclidean space, the determinant describes the effect of a linear transformation on "volume". Whether in linear algebra, polynomial theory, or calculus (for example, in the exchange-element integration method), the determinant as a basic mathematical tool, all have important applications.

Determinant and cross-product