When a new group of elements are added, the theorem of rank preservation is obtained and proved under judgement matrix of old elements being inconsistent.
得出并证明了原有元素的判断矩阵为不一致时，新元素组导入的保序性定理。
In this paper, we probe rank estimation and propose some theorem and property, and discuss the application of the rank estimation in mathematic analysis.
文章对阶的估计作了一些探讨，给出了一些有用的性质定理，并在此基础上简要地讨论了阶的估计在分析中的应用。
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。
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