秩与非零特征值个数的差为1或2的矩阵的性质
질여비령특정치개수적차위1혹2적구진적성질
Characterization of matrices with the differences between ranks and numbers of non-zero eigenvalues being equal to 1 or 2
  • 万方数据
    福建工程学院学报 복건공정학원학보
    Journal of FuJian University of Technology
    2015年 4期 388-391,408 ,共5页

    唐晓文%杨忠鹏%陈梅香

    당효문%양충붕%진매향

    矩阵秩%矩阵指数%非零特征值%Jordan标准形 矩陣秩%矩陣指數%非零特徵值%Jordan標準形
    구진질%구진지수%비령특정치%Jordan표준형
    matrix rank%matrix index%non-zero eigenvalue%Jordan form
    以矩阵方幂的秩为基本工具，对秩与非零特征值个数的差为1或2的矩阵做了等价刻画。作为应用，只用矩阵的秩可给出相应矩阵的 Jordan 标准形。
    이구진방멱적질위기본공구，대질여비령특정치개수적차위1혹2적구진주료등개각화。작위응용，지용구진적질가급출상응구진적 Jordan 표준형。
    With the rank of matrix square power as a basic tool,some equivalent characterization of matrices was presented,in which the differences between the rank and number of non-zero eigen-values is equal to 1 or 2.As applications,Jordan canonical form of the matrices can be given simply by the rank of the matrices.
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