数学杂志2008，Vol.28Issue(6)：619-622,4.
幂等矩阵的组合的零度与秩
THE NULLITY AND RANK OF COMBINATIONS OF IDEMPOTENT MATRICES
左可正1
作者信息
- 1. 湖北师范学院数学系,湖北黄石,435002
- 折叠
摘要
Abstract
The paper researches the rank of the combinations of two idempotent matrices P and Q, i.e., the rank of aP+bQ-cQP (where a,b,c∈C,a≠0,b≠0). By using the properties of the nullspace of the matrix and isomorphisms of the linearspace, we get that the rank of aP+bQ-cPQ is a constant and is equal to the rank of P-Q when c＝a+b, elsewise equal to the rank of P+Q when c≠a+b, which generalize the results of J. J. Koliha and V. Rakoeeie[3].关键词
幂等矩阵/秩/零度Key words
idempotent matrix/rank/nullity分类
数理科学引用本文复制引用
左可正..幂等矩阵的组合的零度与秩[J].数学杂志,2008,28(6):619-622,4.
