On reconstruction of a matrix by its minors

Azamat Akhtyamov; Meirav Amram; Artour Mouftakhov

doi:10.1080/0020739x.2017.1383526

On reconstruction of a matrix by its minors

Azamat Akhtyamov
, Meirav Amram
, Artour Mouftakhov

Research output: Contribution to journal › Comment/debate

10 Scopus citations

Abstract

In this paper, we reconstruct matrices from their minors, and give explicit formulas for the reconstruction of matrices of orders 2 × 3, 2 × 4, 2 × n, 3 × 6 and m × n. We also formulate the Plücker relations, which are the conditions of the existence of a matrix related to its given minors.

Original language	English
Pages (from-to)	268-281
Number of pages	14
Journal	International Journal of Mathematical Education in Science and Technology
Volume	49
Issue number	2
DOIs	https://doi.org/10.1080/0020739x.2017.1383526
State	Published - 17 Feb 2018
Externally published	Yes

Bibliographical note

Publisher Copyright:
© 2017 Informa UK Limited, trading as Taylor & Francis Group.

Keywords

Matrix
Plücker relation
linear algebra
minors
row equivalent matrices

Access to Document

10.1080/0020739x.2017.1383526

Cite this

@article{9f85aeae94d74086a9cf07318a7439e6,

title = "On reconstruction of a matrix by its minors",

abstract = "In this paper, we reconstruct matrices from their minors, and give explicit formulas for the reconstruction of matrices of orders 2 × 3, 2 × 4, 2 × n, 3 × 6 and m × n. We also formulate the Pl{\"u}cker relations, which are the conditions of the existence of a matrix related to its given minors.",

keywords = "Matrix, Pl{\"u}cker relation, linear algebra, minors, row equivalent matrices",

author = "Azamat Akhtyamov and Meirav Amram and Artour Mouftakhov",

note = "Publisher Copyright: {\textcopyright} 2017 Informa UK Limited, trading as Taylor \& Francis Group.",

year = "2018",

month = feb,

day = "17",

doi = "10.1080/0020739x.2017.1383526",

language = "אנגלית",

volume = "49",

pages = "268--281",

journal = "International Journal of Mathematical Education in Science and Technology",

issn = "0020-739X",

publisher = "Taylor and Francis Ltd.",

number = "2",

}

TY - JOUR

T1 - On reconstruction of a matrix by its minors

AU - Akhtyamov, Azamat

AU - Amram, Meirav

AU - Mouftakhov, Artour

PY - 2018/2/17

Y1 - 2018/2/17

N2 - In this paper, we reconstruct matrices from their minors, and give explicit formulas for the reconstruction of matrices of orders 2 × 3, 2 × 4, 2 × n, 3 × 6 and m × n. We also formulate the Plücker relations, which are the conditions of the existence of a matrix related to its given minors.

AB - In this paper, we reconstruct matrices from their minors, and give explicit formulas for the reconstruction of matrices of orders 2 × 3, 2 × 4, 2 × n, 3 × 6 and m × n. We also formulate the Plücker relations, which are the conditions of the existence of a matrix related to its given minors.

KW - Matrix

KW - Plücker relation

KW - linear algebra

KW - minors

KW - row equivalent matrices

UR - https://www.scopus.com/pages/publications/85031911399

U2 - 10.1080/0020739x.2017.1383526

DO - 10.1080/0020739x.2017.1383526

M3 - ???researchoutput.researchoutputtypes.contributiontojournal.comment???

AN - SCOPUS:85031911399

SN - 0020-739X

VL - 49

SP - 268

EP - 281

JO - International Journal of Mathematical Education in Science and Technology

JF - International Journal of Mathematical Education in Science and Technology

IS - 2

ER -

On reconstruction of a matrix by its minors

Abstract

Bibliographical note

Keywords

Access to Document

Other files and links

Fingerprint

Cite this