Email this article PERAN PEJABAT PEMBUAT KOMITMEN SEBAGAI PENGENDALI FUNGSI DALAM PEMBANGUNAN LANJUTAN LABORATORIUM B2P2TOOT TAWANGMANGU
Abstract
This study investigates the general form of the determinant of negative integer powers of a special class of centrosymmetric matrices of even order. For an even positive integer and a positive integer , let denote such a matrix, and consider the matrix obtained by raising to the power . To determine , we first conjecture the general form of the inverse matrix by observing the patterns in the explicit inverses , and . The conjectured form is then verified by showing that and . The resulting inverse is used to construct the matrices , and ; from these cases we infer the general structure of . The validity of this general form is established using mathematical induction. Once the matrix has been obtained, an explicit closed-form expression for is derived via the cofactor expansion method. Finally, a numerical example is presented to illustrate the application of the determinant formula.
Full Text:
PDFReferences
Fanata, Muhammad Randi, dkk 2017 Materi Pendukung Literasi Sains, Gerakan Literasi Nasional. Jakarta: Kemendikbud
Arohman M, Saefudin S, dan Priyandoko D 2016 Kemampuan literasi sains siswa pada pembelajaran ekosistem. In Proceeding Biology Education Conference 13 90-92
Shwartz Y, Ben-Zvi R, dan Hofstein A 2006 The use of scientific literacy taxonomy for assessing the development of chemical literacy among high-school students Chemistry education research and practice 7(4) 203-225
Duffin J M dan Simpson A P 2000 A search for understanding The Journal of Mathematical Behavior 18(4) 415-427
Capriconia J dan Mufit F 2022 Analysis of Concept Understanding and Students’ Attitudes towards Learning Physics in Material of Straight Motion Jurnal Penelitian Pendidikan IPA 8(3) 1453–1461 available: https://doi.org/10.29303/jppipa.v8i3.1381
Ilahi T D W, Mufit F, Hidayati H, dan Afrizon R 2021 Desain dan validitas multimedia interaktif berbasis konflik kognitif pada materi vektor untuk kelas X SMA/MA Jurnal Penelitian Pembelajaran Fisika 12(2) 182-195
Guswina S dan Mufit F 2020 Desain.Four-Tier.Multiple Choice.Test pada Materi.Getaran Harmonis untuk Mengidentifikasi Pemahaman.Konsep.Siswa Kelas X SMA/MA Jurnal Penelitian Pembelajaran Fisika 6(2)
Arief M K 2015 Penerapan Levels of inquiry pada pembelajaran IPA tema pemanasan global untuk meningkatkan literasi sains Edusentris 2(2) 166-176
Alti R P, Lufri L, Helendra H, dan Yogica R 2021 Instrumen Asesmen Berbasis Literasi Sains Tentang Materi Keanekaragaman Hayati Journal for Lesson and Learning Studies 4(1) 53-58.
Mufit F dan Fauzan A 2019 The application. of real experiments video analysis. in the CCBL.model to remediate the misconceptions. about motion’s concept In Journal of Physics: Conference Series 1317 012156
Soeharto S, Csapó B, Sarimanah E, Dewi F I, dan Sabri T 2019 A review of students’ common misconceptions in science and their diagnostic assessment tools Jurnal Pendidikan IPA Indonesia 8(2) 247-266
Dirman H M, Mufit F, dan Festiyed F 2022 Review. and Comparison of. Four-Tier Multiple Choice and.Five-Tier Multiple Choice Diagnostic.Tests to Identify Mastery of Physics Concepts Jurnal Penelitian Pendidikan IPA 8 1-12
Plomp T 2013 Educational Design Research: An Introduction Dalam T. Plomp & N. Nieveen (Ed). Educational Design Research, Part A: An Introduction 10-51
Ali M dan Asrori M 2014 Metodologi dan Aplikasi Riset Pendidikan (Jakarta: Bumi Aksara) ISBN.978-602-217-403-5
DOI: https://doi.org/10.26877/jp2f.v13i2.12923
Refbacks
- There are currently no refbacks.
Copyright (c) 2022 Jurnal Penelitian Pembelajaran Fisika
This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.
JP3 (Jurnal Pendidikan dan Profesi Pendidik) telah terindeks pada:
.png)
JP3 (Jurnal Pendidikan dan Profesi Pendidik) by LPP Universitas PGRI Semarang is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.
Based on a work at https://journal.upgris.ac.id/index.php/jp3.