吉林大学学报（理学版）2016，Vol.54Issue(2)：157-160,4.DOI:10.13413/j.cnki.jdxblxb.2016.02.01
三角矩阵的等价标准型
Equivalence Canonical Forms of Triangular Matrices
摘要
Abstract
We gave the equivalent canonical form of a upper triangular matrix over a field.As applications,we proved that a upper triangular rank-r matrix could be decomposed into a sum of finitely many upper triangular rank-s matrices;we also proved that each ideal of the ring of all upper triangular matrices over a field was a principal ideal,which was generated by a unique reduced canonical upper triangular matrix.关键词
上三角矩阵/等价标准型/秩/理想Key words
upper triangular matrix/equivalent canonical form/rank/ideal分类
数理科学引用本文复制引用
金仲宇,徐晓伟..三角矩阵的等价标准型[J].吉林大学学报（理学版）,2016,54(2):157-160,4.基金项目
国家自然科学基金(批准号:J1310022 （）
11371165) （）
