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 Plücker relations, which are the conditions of the existence of a matrix related to its given minors.

KEYWORDS:

• Matrix
• minors
• linear algebra
• Plücker relation
• row equivalent matrices

2000 Mathematics Subject Classification:

• 15A06
• 15A15
• 97H60

Acknowledgments

The authors thank the anonymous referees for their helpful comments, suggestions and corrections in revising the paper.

Disclosure statement

No potential conflict of interest was reported by the authors.