After solving the system of linear algebraic equations, another problem is induced that requires revising this coefficient matrix in order to get a new system of equations.
在线性代数方程组已解出之后，另一个课题需要修改它的系数矩阵，从而得到一个新的方程组。
To the inverse problem of the system of linear algebraic equations, tiauthor gives a symmetric matrix solution and the expression of its general solution.
本文给出线性代数方程组反问题的对称矩阵解，及其通解表达式。
The method ICCG. is one of the best iterative method for solving the system of linear algebraic equations, but it can only be applied to the symmetric and positive definite coefficient matrix.
ICCG方法是解线性代数方程组较为理想的方法，但它仅适用于具有正定对称的系数阵。
Large sparse system of linear equations are solved by sparse matrix methods.
利用稀疏矩阵技术求解大型稀疏线性方程组。
The article discusses rank of a matrix by the solution theorem of system of homogeneous linear equations, and proves several famous inequalities and two propositions on rank of a matrix.
利用齐次线性方程组解的理论讨论矩阵的秩，给出几个关于矩阵秩的著名不等式的证明，并证明了两个命题。
Row standard simplest form matrix is introduced, the traditional solution of system of linear equations is improved and the solution process is standardized.
本文引进规范行最简形矩阵概念，改进了线性方程组的传统解法，并规范了解题过程。
The name of it comes from the lower-triangular form of system matrix in state-space equations when it is linear.
这一名称来源于下三角结构线性系统写成状态空间表达式后，系统矩阵中所表现出的下三角形状；
The judging methods of the vectors group related dependence from determinant values, rank of matrix, solution of system of linear equations etc were studied.
将行列式的值、矩阵的秩、齐次线性方程组的解等知识运用于向量组线性相关性判定，归纳出六种判定向量组线性相关性的方法。
The inverse problems are researched on linear transformation, system of linear equations, diagonalizing of matrix, and so on.
本文就线性代数中几个重要知识点：线性变换、线性方程组的解、矩阵对角化等的逆向问题进行研究。
This paper deals with the system of linear equations with matrix variables and gives the sufficient and necessary condition of consistency.
本文讨论以矩阵为变量的线性方程组，给出相容性的充要条件。
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。
From the point view of applications, the matrix element of the involved linear system of equations is an explicit expression without numerical integration.
从应用角度看就是最终线性方程组每一元素均为显式表达，没有数值积分。
From the point view of applications, the matrix element of the involved linear system of equations is an explicit expression without numerical integration.
从应用角度看就是最终线性方程组每一元素均为显式表达，没有数值积分。
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