The brief proof is given for "row elementary operations keep the linear relationship of column vectors of matrix",by using multiplication of partitioned matrix and the relation between elementary matrix and elementary operation.
利用初等矩阵与初等变换的对应关系及分块矩阵的乘法,给出矩阵的行初等变换不改变其列向量组的线性关系"的一个简易证明。
This paper analyzes the essence of method of completing suqare with matrix,utilizing the relationship between the elementary matrix and the elementary transformation.
二次型化标准形常采用配方法,而二次型化标准形等价于它的矩阵合同对角化,文中利用初等矩阵和初等变换之间的关系。
From this point of view,we can concisely and intuitively introduce the multiplication principles of elementary matrix and block matrix.
用变量的线性替换解释矩阵乘法,由此可以简洁而且直观地导出初等矩阵和分块矩阵的乘法原理。
On Characteristics of(m,l)Rank-idempotent Matrix and(m,l)Idempotent Matrix
(m,/)秩幂等矩阵和(m,/)幂等矩阵的特性研究
Tripotency of Linear Combinations of Tripotent Matrices
三次幂等矩阵的线性组合的三次幂等性
Some Conditions of Nonsingularity of Linear Combinations of Idempotent Matrices;
幂等矩阵线性组合可逆性的若干条件
The Properties of Generalized Schur Complement for Partitioned Idempotent Matrix
分块幂等矩阵广义Schur补的性质
The Researches on the Zero Matrices and Identity Matrices for Linear Expression of Idempotent Matrices
幂等矩阵线性组合表出零矩阵和单位矩阵的研究
Nine equivalent conditions of real idempotent matrix are given and proved, and one equivalent condition of real symmetric idempotent matrix is also given in this paper.
给出并证明了实幂等矩阵的九个等价条件,以及实对称幂等矩阵的一个等价条件。
Some Proofs of One Proposition about Rank of Matrix and Its Generalization
关于幂等矩阵秩的一个命题的证明和推广
This paper gives a new conclusion about the expression of｛1｝ inverse of aggregate A｛1｝ by using power equal matrix, full rank decomposition and the property of｛1｝ inverse.
利用幂等矩阵、满秩分解以及{}逆的性质,得到{}逆的集合A{}表征新结论。
Using Normal Form of Idempotent Matrices of Degree Three over Z_(p~k) to Construct Cartesian Authentication Codes;
利用Z_（p~k）上三次幂等矩阵的标准形构作Cartesian认证码
Using Normal Form of Idempotent Matrices over Finite Fields to Construct Authentication Codes with Arbitration
利用有限域上幂等矩阵的标准型构造带仲裁的认证码
The generalized inverse of two idempotent matrices and their product under the similar transformation over a local ring
局部环上两个同阶幂等矩阵及其积在同一相似变换下的广义逆
On Idempotent-Hermite Matrices;
关于幂等Hermite矩阵的研究
Idempotent - Hermite Matrix and Decomposition of Matrices;
幂等的Hemite矩阵与矩阵的分解
Some results on idempotency and tripotency of linear combinations of matrices
矩阵线性组合幂等性及立方幂等性的一些结论
Estimation of the Idempotent Index Based on AFS Structures;
基于AFS结构矩阵的幂等指数估计
Linear Operators Preserving Idempotent on 2×2 Matrix Spaces;
2×2矩阵空间上保幂等的线性算子
Maps Preserving Tripotent on Several Classes of Matrix Spaces over Field
域上几类矩阵空间保立方幂等的映射
2~n Idempotency of the Hermitian part of a complex matrix
复矩阵Hermitian部分的2~n次幂等性