有限维线性空间中线性变换值域与核的关系
유한유선성공간중선성변환치역여핵적관계
The Relationship between Range and Kernel of Linear Transformations of Finite Dimensional Linear Space
  • 万方数据
    楚雄师范学院学报 초웅사범학원학보
    JOURNAL OF CHUXIONG TEACHERS'COLLEGE
    2015年 3期 6-8 ,共3页

    钟振华

    종진화

    线性变换%值域%核%直和分解 線性變換%值域%覈%直和分解
    선성변환%치역%핵%직화분해
    linear transform%range%kernel%direct sum decomposition
    本文给出了线性变换的值域与核的内在关系，讨论了线性空间分解为线性变换值域与核的直和的充要条件以及线性变换值域与核的包含关系。
    본문급출료선성변환적치역여핵적내재관계，토론료선성공간분해위선성변환치역여핵적직화적충요조건이급선성변환치역여핵적포함관계。
    This paper presents the intrinsic relationship of range and kernel of linear transformations, discusses the necessary and sufficient conditions for the direct sum decomposition of range and kernel of linear transformation in linear space and the inclusion relation of range and kernel of linear transformation.
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