| 关于幂等矩阵秩的一个命题的证明和推广 |
| |
| 引用本文： | 龚和林,舒情.关于幂等矩阵秩的一个命题的证明和推广[J].大学数学,2009,25(6). |
| |
| 作者姓名： | 龚和林 舒情 |
| |
| 作者单位： | 上饶师范学院,数学与计算机系,江西,334001 |
| |
| 摘 要： | 给出秩命题"n阶方阵A为幂等矩阵等价于r(A)+r(E-A)=n"的五种证明,并推广其结论,从而刻画了几类矩阵的秩特征(见定理1-3).
|
| 关 键 词： | 秩 幂等矩阵 矩阵多项式 Jordan标准形 |
Some Proofs of One Proposition about Rank of Matrix and Its Generalization |
| |
| Abstract: | Five different proofs for one proposition about rank of matrix is given.Furthermore,this paper shows the characterization of rank for several types of matrices by generalizing its results. |
| |
| Keywords: | rank of matrix polynomial of matrix idempotent matrix Jordan matrix |
| 本文献已被 万方数据 等数据库收录！ |
|
