A Novel Proof of the Desnanot-Jacobi Determinant Identity

Q4 Mathematics Mathematics Magazine Pub Date : 2023-04-24 DOI:10.1080/0025570X.2023.2199721
J. Vrbik, Paul Vrbik
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Abstract

Summary We present an alternate proof for the Desnanot-Jacobi identity using induction, basic matrix algebra and elementary differential calculus. It is an instructive demonstration of how it is occasionally necessary to utilize results from different fields of mathematics to solve a specific problem.
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Desnanot-Jacobi行列式恒等式的一个新证明
摘要我们使用归纳法、基本矩阵代数和初等微分学给出了Desnanot-Jacobi恒等式的另一种证明。这是一个很有启发性的例子,说明了如何偶尔需要利用不同数学领域的结果来解决一个特定的问题。
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来源期刊
Mathematics Magazine
Mathematics Magazine Mathematics-Mathematics (all)
CiteScore
0.20
自引率
0.00%
发文量
68
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