On reconstruction of a matrix by its minors |
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| Authors: | Azamat Akhtyamov Artour Mouftakhov |
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| Institution: | 1. Department of Mathematics and Information Technologies, Bashkir State University, Ufa 450076, Russia;2. Department of Mathematics, Shamoon College of Engineering, Ashdod 77245, Israel |
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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. |
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| Keywords: | Matrix minors linear algebra Plücker relation row equivalent matrices |
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