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。
First, the matrix of elementary transformation in the use of advanced algebra in a very wide and easy to use.
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 paper probes into the solution, by means of the matrix elementary transformation, of the non-elementary feasible base of linear program.
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。
Full rank decomposition of matrix and triangular decomposition of strongly full rank can well be realized by elementary transformation method of matrix.
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。
This paper is intended for introducing a way to calculate the quotient and remainder with matrix elementary transformation, and discussing its application.
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 discussed the matrix of elementary transformation in the higher elementary algebra linear algebra and number theory in wide 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。
This paper focuses on a matrix of elementary transformation in higher algebra, linear algebra and number theory in the elementary extensive use.
本文讨论用矩阵的初等变换求得基础解系的另一种方法，使基础解系隐含在一个矩阵之中。
This paper discussed a new solution to homogeneous linear equations, hiding basic solutions in a 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。
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。
Thus we gave a kind of new method for solving the greatest common factor of two-variable polynomials.
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 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.
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。
Method of completing square is often used when transforming a quadratic form into a normal one, whose process is equivalent to making the relevant matrix contract diagonal.
运用初等变换方法探讨了数量对合矩阵的若干秩等式。
The paper get some rank equalities of scalar-involutory matrices by elementary operation.
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；
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.
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。
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.
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。
This algorithm diagonalizes the MIMO channel matrix based on the statistics of the source signals by using the elementary matrix transformation in mathematics.
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。
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.
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。
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.
本文给出利用矩阵初等变换求一组整数的最大公因数，以及把它表示成这组数的组合的一个方法，此法常比一般“初等数论”教材中所给方法简单。
This paper first gets definition and theorems of integers matrices, and then to discusses a new method to find the greatest common factor of integers and solves linear indeterminate equation.
分别给出计算矩阵的最小多项式和向量关于矩阵的最小多项式的初等变换方法。
A method using elementary transformation for calculating minimum polynomials of matrices and vectors are given.
文章针对特征矩阵施行初等变换，提出了求出矩阵特征值和特征向量的一种方法，从而以简捷的方式将矩阵相似对角化。
The model of the defect of 1-D photonic crystal, which is defect in symmetry, is set up based on the solution of eigen matrix.
文章针对特征矩阵施行初等变换，提出了求出矩阵特征值和特征向量的一种方法，从而以简捷的方式将矩阵相似对角化。
The model of the defect of 1-D photonic crystal, which is defect in symmetry, is set up based on the solution of eigen matrix.
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