Abstract:
This article studies the concept of determinant and its properties. Some examples calculation of higher order determinants using Laplace's rule, properties of determinants are solved and explained. Determinants of finite order (order 4, 5, 6) as well as of undetermined order (order n) are calculated. Some techniques for calculating higher-order determinants are described, such as: bringing the determinant to the triangular form, the method of recurrences.