Griya Journal of Mathematics Education and Application
Vol. 5 No. 4 (2025): Desember 2025

Faktorisasi Matriks Hermitian Nonkomutatif Berdasarkan Trace

Wadu, Mira (Unknown)
Kumanireng, Albert Mario (Unknown)
Tamonob, Arista Marlince (Unknown)

Article Info

Publish Date
21 Dec 2025

Abstract

This article studies the factorization of Hermitian matrices over a division ring based on their trace values. The main result shows that the trace determines the minimum number of Hermitian factors required in factorization depending on the trace value, namely four factors are sufficient for matrices with zero trace, while for matrices with nonzero trace, one additional diagonalizable factor is required. This result indicates a relationship between additive invariance (trace) and multiplicative invariance (Dieudonné determinant) in noncommutative linear algebra.

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Journal Info
Griya Journal of Mathematics Education and Application
Website

Abbrev

Griya

Publisher

Universitas Mataram

Subject

Education Mathematics

Description

Griya Journal of Mathematics Education and Application adalah Jurnal Matematika dan Pendidikan Matematika yang dikelola oleh Program Studi S1 Pendidikan Matematika Universitas Mataram. Fokus dan ruang lingkup dari jurnal ini adalah artikel ilmiah baik berupa hasil penelitian, review artikel maupun ...