Concepedia

Rank-nullity Theorem

The Rank-Nullity Theorem is a fundamental theorem in linear algebra that states the dimension of the domain of a linear transformation is equal to the sum of the rank of the transformation and the dimension of its null space.

17

Publications

654

Citations

30

Authors

26

Institutions

Publications per year

2017–2026

0

Variants

Dimension Theorem For Linear Maps

Parents

Publications

17

Rank and null space calculations using matrix decomposition without column interchanges

Leslie V. Foster · Linear Algebra and its Applications · 1986 · 130 citations

, , +13

Ascent, descent, nullity, defect, and related notions for linear relations in linear spaces

Adrian Sandovici, Henk de Snoo, Henrik Winkler · Linear Algebra and its Applications · 2007 · 89 citations

, , +11

A characterization of singular graphs

Irene Sciriha · Electronic Journal of Linear Algebra · 2007 · 73 citations · Full text

, , +13

A certain class of incidence matrices

Daniel Henry Gottlieb · Proceedings of the American Mathematical Society · 1966 · 64 citations

, , +11

Rank Tests of Sub-Hypotheses in the General Linear Regression

J. N. Adichie · The Annals of Statistics · 1978 · 54 citations · Full text

, , +11

1–5 of 17

Authors

30

  1. DH
    Daniel Hershkowitz

    Technion – Israel Institute of Technology, Israel

    2 publications · 74 citations

    2

    h-index

  2. LV
    Leslie V. Foster

    San Jose State University, United States

    1 publications · 130 citations

    1

    h-index

  3. FB
    Francesco Barioli

    University of Regina, Canada

    1 publications · 52 citations

    1

    h-index

  4. SF
    Shaun Fallat

    University of Regina, Canada

    1 publications · 52 citations

    1

    h-index

  5. RB
    Richard Brauer

    Harvard University Press, United States

    1 publications · 13 citations

    1

    h-index

1–5 of 30

Institutions

26

  1. Technion – Israel Institute of Technology

    Haifa, Israel

    2 h-index

    3 publications

    96 citations

  2. National and Kapodistrian University of Athens

    Athens, Greece

    1 h-index

    2 publications

    22 citations

  3. American Institute of Mathematics

    Pasadena, United States

    1 h-index

    1 publications

    52 citations

  4. Guangxi Minzu University

    Nanning, China

    1 h-index

    2 publications

    32 citations

  5. University of Bacău

    Bacau, Romania

    1 h-index

    1 publications

    89 citations

  6. Hasselt University

    Hasselt, Belgium

    1 h-index

    1 publications

    10 citations

  7. Universitat Politècnica de València

    Valencia, Spain

    1 h-index

    1 publications

    16 citations

  8. Brigham Young University

    Provo, United States

    1 h-index

    1 publications

    52 citations

1–8 of 26

Venues

  1. Linear Algebra and its Applications

    5 publications · 285 citations

    5

    h-index

  2. Electronic Journal of Linear Algebra

    ELA · 3 publications · 155 citations

    3

    h-index

  3. Duke Mathematical Journal

    DMJ · 1 publications · 18 citations

    1

    h-index

  4. The Annals of Statistics

    1 publications · 54 citations

    1

    h-index

  5. Discrete Mathematics

    1 publications · 13 citations

    1

    h-index

1–5