摘要
本文主要利用等价标准形分解或满秩分解定理、 列向量的极大无关组、 分块初等变换、 线性空间 的维数、 齐次方程组的基础解系、 打洞原理等研究了一些常见的矩阵秩的不等式的证明,并列举 出一些常见的矩阵秩的不等式的应用。
In this paper, the proofs of some common matrix rank inequalities are studied main- ly using equivalent normal form decomposition or full rank decomposition theorem, maximal independent group of column vectors, block elementary transformation, the dimension of linear space and the basic solution system of homogeneous equations, and lists the application of some common matrix rank inequalities.
出处
《应用数学进展》
2024年第4期1433-1447,共15页
Advances in Applied Mathematics
