【摘要】 现行代数研究的主要课题是有限生成自由模的同态 (特别是研究有限维向量空间的线性变换 ) .这些同态与矩阵之间存在相互依赖的关系 .由于研究表达同一个同态 (对于不同的基 )的两个矩阵之间的联系 ,产生矩阵的等价和相似的概念 ,因而导出若干等价标准形 .文中对矩阵标准形之一——行标准形的特征及其应用作了较详细的探讨 ,发现其形式较简洁 ,能简化矩阵代数中常见的一些重要结论更多还原

【Abstract】 One main subject of study on linear algebra is homoorphism of the finite generation free modul (specially, study of linear transformation on finite dimension vector space), and this exists in close relation between those homomorphism and matrix. Because it has connection with two matrices expressed one homomorphim (considered different basics), the concepts of the equivalence and similar of matrix are generated, which derived some equivalent normal forms. In the paper the characteriztion and application of the row normal form of matrix are discussed in detail. The state of it is simple and the state of some result on matrix can be simplified.更多还原