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.
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Brous, P., Janssen, M., & Herder, P. (2020). The dual effects of the Internet of Things (IoT): A systematic review of the benefits and risks of IoT adoption by organizations. International Journal of Information Management, 51(September 2018), 101952. https://doi.org/10.1016/j.ijinfomgt.2019.05.008
Jamil, M. M. (2019). Optimalisasi Model ARCS Dalam Pembelajaran Saintifik Untuk Meningkatkan Motivasi Belajar Peserta Didik Pada Peminatan Mata Pelajaran Geografi Di Kelas Matematika Ilmu Alam. IJIS Edu : Indonesian Journal of Integrated Science Education, 1(1), 7. https://doi.org/10.29300/ijisedu.v1i1.1401
Marwanto, A. (2021). Pembelajaran pada Anak Sekolah Dasar di Masa Pandemi Covid 19. Jurnal Basicedu, 5(4), 2097–2105. https://doi.org/10.31004/basicedu.v5i4.1128
Ningrum, D. M., & Dwijayanti, R. (2021). Pengembangan Media Pembelajaran Buku Saku Pada Kompetensi Dasar Mengidentifikasi Sop Penataan Produk Mata Pelajaran Penataan Barang Dagang Pada Peserta Didik Kelas Xi Pemasaran Smk Ketintang Surabaya. Jurnal Pendidikan Tata Niaga (JPTN, 9(2), 1230–1236. Retrieved from https://jurnalmahasiswa.unesa.ac.id/index.php/jptn/article/view/36126
Plomp, T., & Nieveen, N. (2013). Educational Design Research Educational Design Research. Netherlands Institute for Curriculum Development: SLO, 1–206. Retrieved from http://www.eric.ed.gov/ERICWebPortal/recordDetail?accno=EJ815766
Rosmana, P. S., Iskandar, S., & Dwiyanti, I. (2022). Penggunaan Kurikulum Darurat dalam Meningkatkan Kualitas Pembelajaran pada Masa Pandemi Covid-19. Jurnal Pendidikan Islam Anak Usia Dini, 4(1), 213–223.
Sadiman, A. S., Harjito, Haryono, A., & Rahardjo, R. (2018). No TitleMedia pendidikan : pengertian, pengembangan, dan pemanfaatannya. Depok: PT Rajagrafindo Persada.
Sasmita, R. S. (2020). Research & Learning in Primary Education Pemanfaatan Internet Sebagai Sumber Belajar. Jurnal Pendidikan Dan Konseling, 1, 1–5.
Setiana, N. (2016). Pembelajaran IPS Terintegrasi dalam Konteks Kurikulum 2013. EduHumaniora | Jurnal Pendidikan Dasar Kampus Cibiru, 6(2), 95–108. https://doi.org/10.17509/eh.v6i2.4574
Setyosari, P. (2016). Metode Penelitian Pendidikan & Pengembangan. Jakarta: Kencana.
Solikhin, M. (2020). Implementasi Model Pembelajaran Arcs (Attention, Relevance, Confidence, and Satisfaction) Pada Mata Pelajaran Pekerjaan Dasar Teknik Otomotif (Pdto) Untuk Meningkatkan Keaktifan Dan Hasil Belajar Siswa Kelas X Tkr a Teknik Kendaraan Ringan Di Smk Nasional Berbah Tahun Ajaran 2019/2020. Jurnal Pendidikan Vokasi Otomotif, 3(1), 73–84. https://doi.org/10.21831/jpvo.v3i1.34990
Sugiyono. (2014). Metode Penelitian kuantitatif, kualitatif dan R & D. Bandung: Alfabeta.
Sundayana, R. (2013). Media Pembelajaran Matematika. Bandung: Alfabeta.
DOI: https://doi.org/10.26877/mpp.v17i1.13329
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