NEW THEOREMS FOR CALCULATING THE DETERMINANT OF A MATRIX OF ORDER n

The first chapter presented in this book shows us an article that unveils a new concept for the development of the calculation of the Determinant of a matrix which involves new theorems that justify the calculation of the determinant of the square matrix A that is of order n by applying the reduction of the order of the matrix but rather with the expansion of the matrix from order n to n+k where k<n and consequently the possibility of being able to solve the problem in a simpler way reducing it to order n-1. The research into obtaining new theorems was due to a continuation of research and development through the book published on the Morebooks and Amazon book platform in 2018 by the same author called ''Determinant of a 3x3 Order Matrix with a New Approach''.