Condensation of Determinants
Abdelmalek Salem, Kouachi Said
TL;DR
This paper presents a mathematical proof demonstrating how to condense the determinant of an n x n matrix into the determinant of an (n-1) x (n-1) matrix, simplifying determinant calculations.
Contribution
It introduces a new method for reducing the size of determinants with a formal proof, advancing computational techniques in linear algebra.
Findings
Proof of determinant condensation for n x n matrices
Simplification of determinant calculation process
Potential applications in matrix algebra and computational mathematics
Abstract
In this paper we tried to condense the determinant of n square matrix to the determinant of (n - 1) square matrix with the mathematical proof.
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Taxonomy
TopicsMatrix Theory and Algorithms · Mathematical and Computational Methods