Matrix Theory And Applications

Matrix theory is the study of the application of the subjects in mathematics, which is to study numerical analysis, optimization theory, probability and statistics, operations research, control theory, mechanics, electricity, information science, management science and engineering base in particular, extensive use of the computer for the application of matrix theory has opened up broad prospects. Given the richness of the content of matrix theory, this paper describes the application of elementary transformation matrix. This paper is divided into three parts: The first part introduces Excel in the calculation of matrix-related, Excel built-in a variety of functions that can classify large amounts of data, sort, and even draw diagrams and so on. This section details the main determinant of a matrix using Excel, matrix transpose, matrix inverse, matrix addition, matrix multiplication and rank of the matrix and so on. Calculated by Excel in the matrix of the relevant learning to further understand the use of Excel, but also a step on the matrix theory of learning provide a shortcutThe second part introduces the elementary transformation of matrix algebra, linear algebra and elementary number theory applications. Elementary transformation matrix including a matrix inverse of a matrix with minimal polynomial, find the quotient and division with remainder, the greatest common factor of a polynomial and least common multiple, method of solving equations with more than , find the continued fraction of the asymptotic score, find the natural number of other power and so on. Although these problems we have solutions. However, elementary transformation matrix to solve, the problem becomes more intuitive, more easy to accept. The third part of the equation, describes the solution of linear equations, focusing on the positive definite solutions of matrix equation...