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All Journal Jurnal Penelitian Fisika dan Aplikasinya (JPFA) TOFEDU: The Future of Education Journal
May Yani br Sembiring
Universitas Jambi
Astronomy Earth & Planetary Sciences Education Languange, Linguistic, Communication & Media Materials Science & Nanotechnology Mathematics Physics Other

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Analytic Method And Matrix Diagonalization On Eigen System Of Hermitian Matrix Operator Bambang Supriadi; Sisilia Nur Hikmah Anggraeni Anggraeni; Badriyah; Fidia Alhikmah Putri; Puput Aprilia Eka Sari; Indah Selviandri; May Yani br Sembiring
Jurnal Penelitian Fisika dan Aplikasinya (JPFA) Vol. 15 No. 1 (2025)
Publisher : Universitas Negeri Surabaya

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.26740/jpfa.v15n1.p40-51

Abstract

The solution of the Hermitian eigenoperator matrix problem produces an eigensystem consisting of eigenvalues ​​and eigenvectors. This study aims to determine the complete solution of the eigensystem and the diagonalization of the Hermitian order matrix operator.  analytically. The results of the study show that every eigenproblem in the Hermitian matrix operator  generate several eigenvalues  according to the order of the matrix operator, the eigenvalues ​​are real numbers. Eigenvectors,  of the Hermitian matrix operators are orthogonal because  and   thus forming a basis matrix  and is unitary. A Hermitian matrix can be diagonalized through its basis matrices and a diagonal matrix is ​​obtained.  whose diagonal elements are the eigenvalues ​​of the Hermitian operator.
The Analysis of the Implementation of the Merdeka Curriculum Teaching Module Based on Problem-Based Learning in Physics Education at SMA Negeri 1 Kota Jambi Rahma Dani; May Yani Br Sembiring; Anggrek Adewina Siahaan; Susantri Tarigan; Edo Markus Putra Harhar Ginting; Gheriyah Rohimah Nur Fatimah; Suwanto Suwanto
The Future of Education Journal Vol 3 No 4 (2024)
Publisher : Lembaga Penerbitan dan Publikasi Ilmiah Yayasan Pendidikan Tumpuan Bangsa

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.61445/tofedu.v3i4.173

Abstract

This study analyzes the implementation of the Merdeka Curriculum using the Problem-Based Learning (PBL) model and its impact on student learning outcomes at SMA Negeri 1 Jambi. Using a qualitative approach, data were collected through direct observation and analysis of learning outcomes from class XII F7 students. The results indicate a significant increase in student engagement and learning outcomes through the PBL approach, with an average score improvement of 15% compared to conventional teaching. The PBL model successfully created a collaborative learning environment that encouraged problem-solving skills development. Despite initial challenges in teacher adaptation and resource availability, the implementation of the Merdeka Curriculum with the PBL model showed positive effects on student motivation and conceptual understanding. This study provides empirical evidence of the effectiveness of integrating PBL into the Merdeka Curriculum to enhance the quality of learning at the senior high school level.
Co-Authors Anggrek Adewina Siahaan Badriyah Bambang Supriadi Edo Markus Putra Harhar Ginting Fidia Alhikmah Putri Gheriyah Rohimah Nur Fatimah Indah Selviandri Puput Aprilia Eka Sari Rahma Dani Sisilia Nur Hikmah Anggraeni Anggraeni Susantri Tarigan Suwanto Suwanto