Improvement on the elementary transformation method of QR decomposition of matrix;

Application of elementary transformation of matrix;

Finding bases for sum and intersection of subspaces in Pn using elementary transformations;

A method of seeking Moore-Penrose s generalized inverse metrix through elementary operation;

This paper presents an approach to find out the matrix eigenvalue and eigenvector of an eigenmatrix using elementary operations, which is an easier and quicker way to obtain the similarity diagonalization of a matrix.

In this paper, a practical solving method and an expression of general solution of a matrix equation AXB=CYD are given by using matrix techniques and elementary operations on matrix.

Matrix equations under elementary operations;

In the paper , we gives a condition and an expression of general solution of a matrix equation AXB=C by using some matrix techniques and elementary operations on matrices.

In the paper,by using some matrix techniques and elementary operations on matrix equations,we give a condition and an expression of general solution of two kinds of matrix equations ABX= CYD, AXB = C.

The way of solving matrix equation directly with primary transformation method is discussed with the premise of the matrix of coefficients being reversible, which makes the solving procedures more simple.

A simple method of solving an orthogonal transformation with a primary transformation is presented by change quadric form into canonical form.

Results Getting the effective way of selecting the proper primary matrix from the primary transformation.

The primary transform is used to solve a lot of important questions, such as finding matrix inversion and standard form.

By using primary transform of matrices we have proposed a new method for solving the singular systems EX=AX + Bu.