摘要
证明了n阶3-幂零矩阵秩的取值范围,并给出多种表示方法。同时,得到n阶3-幂零矩阵秩为定值时Jordan规范型个数的算法,并根据表示法,算出最大秩的Jordan规范型的个数。
The value range of rank of 3-nilpotent matrix which was expressed by several methods was proved. Calculations for the number of Jordan's normal form of 3-nilpotent matrices were given. In view of calculations, the number of the maximum rank of Jordan's normal form was computed.
出处
《莆田学院学报》
2013年第5期5-8,28,共5页
Journal of putian University
基金
国家自然科学基金资助项目(11201063)
福建省自然科学基金资助项目(2013J05013)
福建省教育厅基金资助项目(JA11209
JB11173)