D\'eterminant d'une matrice carr\'ee
Elisabeth Remm
TL;DR
This paper investigates the properties of matrices formed by minors of a given invertible matrix, focusing on special cases within the special linear and special orthogonal groups.
Contribution
It provides new insights into the structure of minors matrices for matrices in SL(n) and SO(n).
Findings
Analysis of minors matrices in SL(n) and SO(n)
Characterization of properties of these matrices
Potential applications in group theory and matrix analysis
Abstract
We are interested in matrices of minors of order p of a invertible matrix. Special cases are studied when this matrix is in SL(n) or SO(n)
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Taxonomy
TopicsMatrix Theory and Algorithms · Advanced Topics in Algebra