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

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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

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10.1080/0020739x.2017.1383526

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KW - Plücker relation

KW - linear algebra

KW - minors

KW - row equivalent matrices

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On reconstruction of a matrix by its minors

Abstract

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Keywords

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