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。
You can say that the proof USES nothing beyond elementary matrix theory, repeated use of the triangle inequality, and the pigeonhole principle.
你可以简要地说其实证明就是初等矩阵理论，三角不等式和鸽笼原理的运用。
This algorithm diagonalizes the MIMO channel matrix based on the statistics of the source signals by using the elementary matrix transformation in mathematics.
该算法基于通信源信号的统计特性，利用数学上通过矩阵初等变换实现矩阵对角化的原理对MIMO信道矩阵实现了对角化。
Based on elementary circuit theorems, the matrix equations for calculating layer currents are set up and some formulas are deduced.
根据电路基本定律，列出了计算各层定流的矩阵方程并推导了有关的计算公式。
This paper starts from the physical processes of cascade speed control system and derives several groups of elementary electromagnetic equation, dynamic block diagrams, and matrix equations.
本文从串级调速控制系统的物理过程出发，推求出几组基本的电磁方程、动态结构图及矩阵方程。
The concept of complementary matrix is proposed in this work, and it is proved that elementary siphons are a basis in the siphon space of complementary matrix.
本工作中提出了补集矩阵的概念，并且理论证明，基本信标是补集矩阵对应的信标空间的一个基。
This paper discussed the matrix of elementary transformation in the higher elementary algebra linear algebra and number theory in wide use.
本论文主要讨论了矩阵的初等变换在高等代数线性代数以及初等数论中的广泛运用。
This paper focuses on a matrix of elementary transformation in higher algebra, linear algebra and number theory in the elementary extensive use.
本论文主要论述了矩阵的初等变换在高等代数、线性代数以及初等数论中的广泛运用。
In this paper we get a seeking unified method of the least common multiple the greatest common factor and coefficients polynomial by implementing elementary row transformation in a polynomial matrix.
利用矩阵的初等变换，给出了两个多项式的最小公倍式、最大公因式及其系数多项式的统一求法。
An elementary reflexive matrix is proposed and its applications to matrix eigenvalue problem are presented.
构造了一个初等自反矩阵并给出了它在特征值计算中的一个应用。
One helpful way to determine the isomorphism of graphs is to use elementary operations on a graph adjacency matrix so as to transform one matrix into another.
判断图同构的一种有用的方法是对图的邻接矩阵进行初等变换，变成另一个图的邻接矩阵。
Because of this, this paper optimizes the solution further regarding matrix and vector quantity as tools, and it can produce the result through linear expression after elementary line change.
正基于此，本文进一步以矩阵和向量为工具对解法进行优化，使通过初等行变换后经线性表出就可以产生结果。
This paper with elementary transformation of matrix discusses some properties of a set of vectors in finite dimensional vector space and the theory basis of this method is given.
该文利用矩阵的初等变换解决有限维向量空间中向量组的线性性质的有关问题，并给出了这种方法的理论依据。
This paper presents directly the general solution to sets of linear equations by properly bordering on augmented matrix and elementary transformation, and produeces some theoretical proving.
通过对增广矩阵适当“加边”，利用矩阵的初等行变换，直接求出线性方程组的通解形式，并在理论上给予了论证。
An analytical method to find correspondence matrix for basic vector transformation is given by using elementary theory of numbers.
本文用欧几里得算法，给出求解基矢变换对应矩阵的解析表达式。
This paper is intended for introducing a way to calculate the quotient and remainder with matrix elementary transformation, and discussing its application.
给出利用矩阵的初等变换的方法求带余除法中的商和余式，并讨论了其应用。
In this paper the formulas for the stiffness matrix and load matrix of thin-Walled elementary beams with distorted multieell sections are given.
本文用两种方法建立断面有畸变的任意断面形状任意箱数的薄壁箱梁的单元刚度矩阵和单元荷载矩阵的通式。
By using the elementary row transformation in the controllable matrix, the input matrix is replaced by the maximally linear independent set of its column vectors.
该算法在可控性矩阵中将输入矩阵用其列向量的极大线性无关组代替，并使用矩阵的行初等变换；
First, the matrix of elementary transformation in the use of advanced algebra in a very wide and easy to use.
首先，矩阵的初等变换在高等代数中的用途很广，且使用方便。
We've studied that the wide-sense elementary transformation of a matrix, and illustrated its application in determinant calculation, matrix inversion and the rank of a matrix.
我们试对矩阵的广义初等变换作简要阐述并举例说明其在行列式求值、矩阵求逆及矩阵秩的有关证明等方面的应用。
The number of the elementary matrices representing a matrix over a local ring are discussed, the corresponding results from a field to a local ring are extended.
讨论了局部环上的矩阵表为初等阵之积的因子个数问题，并推广了域上的相应结论。
By elementary rank transformations of matrix, a method has been obtained to solve linear diophantine equation with some variables. The method overcomes the deficiency of traditional method.
利用矩阵的初等列变换，给出了求解多元线性不定方程的一种方法，该方法改进了传统方法计算量大、步骤多的缺点。
In this paper the author gives a new method to solve the greatest common formula of two multinomials elementary transformation of raws of the matrix.
本文给出用矩阵的行初等变换求两个多项式最大公因式的方法。
Full rank decomposition of matrix and triangular decomposition of strongly full rank can well be realized by elementary transformation method of matrix.
通过矩阵的初等变换可实现矩阵的满秩分解和强满秩矩阵的三角分解。
This paper shows some simple methods to calculate the powers of A using the characteristic matrix decomposition and the elementary row operation.
本文给出用特征矩阵分解与初等行变换求A的一系列幂的简捷方法。
The paper probes into the solution, by means of the matrix elementary transformation, of the non-elementary feasible base of linear program.
对用矩阵的初等变换求线性规划的无初始可行基问题进行了探讨。
The old methods about solving a system of linear equations all base on using the row's elementary operation to matrix of coefficients or augmented matrix.
现有的关于线性方程组的解法，都是基于对系数阵或增广阵施行初等“行”变换。
In this paper, by application of matrix elementary operation, we give the method of solving for plane projective collineation. The method presented in this paper is simpler and clearer than used one.
本文介绍一种利用矩阵的初等行变换求解平面直射变换式的方法，它较一般解法更为简明。
In this paper, by application of matrix elementary operation, we give the method of solving for plane projective collineation. The method presented in this paper is simpler and clearer than used one.
本文介绍一种利用矩阵的初等行变换求解平面直射变换式的方法，它较一般解法更为简明。
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