线性空间相关定理及维数公式的推广和应用（英文）
선성공간상관정리급유수공식적추엄화응용（영문）
Generalization and Application of Related Theorems and Dimensional Formula for Linear Space
  • 万方数据
    广西师范学院学报：自然科学版 엄서사범학원학보：자연과학판
    Journal of Guangxi Teachers Education University:Natural Science Edition
    2011年 4期 111-118 ,共8页

    赵汝菊%任北上

    조여국%임북상

    秩%维数%不等式%维数公式%线性空间 秩%維數%不等式%維數公式%線性空間
    질%유수%불등식%유수공식%선성공간
    rank%dimension%inequality%dimensional formula%linear space
    线性空间的相关定理及其公式对于解决诸多代数问题提供了有力的工具,该文将线性空间中的维数公式推广到一般矩阵上,利用推广的维数公式及相应的定理来证明Sylvester不等式、Frobenius不等式等一些重要的关于秩的命题.
    선성공간적상관정리급기공식대우해결제다대수문제제공료유력적공구,해문장선성공간중적유수공식추엄도일반구진상,이용추엄적유수공식급상응적정리래증명Sylvester불등식、Frobenius불등식등일사중요적관우질적명제.
    The related theorem and formula of linear space have provided an extremely convenient tool regarding the solution to algebra question.If the linear space in dimensional formula is generalized to the general matrix,we can use the generalized dimensional formula and corresponding theorem to prove some important inequalities and equalities about the rank of matrix like Sylvester inequality,Frobenius inequality and so on.
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