Great Matrix Equations

Jumaboyevich Kn,Yuldashevich Aq,Ugli Iob

doi:10.4172/2168-9679.1000384

Abstract

This paper is devoted to some identities of matrix and determinants. In this article, matrices inequalities are widely used. Matrices are non-optimistic. The matrix's determinants have been proven. In addition to the left module and the right module descriptions in this article. In general, this article is devoted to matrix approximation.

Highlights

IntroductionMatrix is a mathematical object, written in the form of a rectangular table of ring or field elements (for example, integers, real numbers or complex numbers), which is a collection of rows and columns, at the intersection of which are its elements
Matrix is a mathematical object, written in the form of a rectangular table of ring or field elements, which is a collection of rows and columns, at the intersection of which are its elements
For the matrix the following algebraic operations are defined: Addition of matrices having the same size, multiplication of matrices of a suitable size n columns can be multiplied from the right by a matrix having [5-8], including multiplication by the matrix of the vector, multiplication of the matrix by an element of the base ring or field

Summary

Introduction

Matrix is a mathematical object, written in the form of a rectangular table of ring or field elements (for example, integers, real numbers or complex numbers), which is a collection of rows and columns, at the intersection of which are its elements. Matrices are widely used in mathematics for the compact recording of systems of linear algebraic or differential equations In this case, the number of rows of the matrix corresponds to the number of equations [2-4], and the number of columns to the number of unknowns. For the matrix the following algebraic operations are defined: Addition of matrices having the same size, multiplication of matrices of a suitable size (a matrix having display style n) n columns can be multiplied from the right by a matrix having (display style in rows) [5-8], including multiplication by the matrix of the vector (according to the usual rule of matrix multiplication, the vector is in this sense a particular case of the matrix), multiplication of the matrix by an element of the base ring or field (that is, a scalar). C [mxm] we define a set of matrices that are all elements of this form m-matrix order

Module of Matrix

In that case

Conclusion