PERAN PEJABAT PEMBUAT KOMITMEN SEBAGAI PENGENDALI FUNGSI DALAM PEMBANGUNAN LANJUTAN LABORATORIUM B2P2TOOT TAWANGMANGU

Duwi Nuvitalia, Ernawati Saptaningrum, Sigit Ristanto, M R Putri

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:

PDF

References


Riley D D dan Hunt K A 2014 Computational Thinking for The Modern Problem Solver. La Crosse: CRC Press.

Hadayani D O, Delinah dan Nurlina 2020 Membangun Karakter Siswa Melalui Literasi Digital Dalam Menghadapi Pendidikan Abad 21 (Revolusi Industri 4.0). Prosiding Seminar Nasional Pendidikan Program Pascasarjana Universitas PGRI Palembang 21 999–1015.

Prayogi R D dan Estetika R 2019 Kecakapan Abad 21: Kompetensi Digital Pendidik Masa Depan. Jurnal Manajemen Pendidikan 14 (2) 144–151.

Grover S 2018 The 5th 'C' of 21st Century Skills? Try Computational Thinking (Not Coding). Retrieved from.

Ansori M 2020 Pemikiran Komputasi (Computational Thinking) dalam Pemecahan Masalah. Dirasah : Jurnal Studi Ilmu Dan Manajemen Pendidikan Islam 3(1) 111–126.

Wing J M 2006 Computational thinking. Communications of the ACM 49(3) 33–35.

Wing J M 2017 Computational thinking’s influence on research and education for all. Italian Journal of Educational Technology 25(2) 7–14.

Maharani S, Nusantara T, Asari A R, Malang U N dan Timur J 2020 Computational Thinking Pemecahan Masalah di Abad ke-21 (Issue December). Malang: Wade Group.

Malik S 2016 Peningkatan Kemampuan Berpikir Komputasi Siswa melalui Multimedia Interaktif Berbasis Model Quantum Teaching and Learning. Skripsi Universitas Pendidikan Indonesia, Juni.

So H J, Jong M S Y dan Liu C C. 2020 Computational Thinking Education in the Asian Pacific Region. The Asia-Pacific Education Researcher 29(1) 1–8.

Sugiyono 2013 Metode Penelitian Kuantitatif, Kualitatif dan R&D. Bandung: Alfabeta.

Maksum K, Afifah N, Ardiyaningrum M dan Sukati S 2022 March 4). Pengembangan Instrumen Tes Keterampilan Berpikir Komputasi pada Pelajaran Matematika Sekolah Dasar (SD)/ Madrasah Ibtida’iyah (MI). MODELING: Jurnal Program Studi PGMI 9(1) 39-53.

M. Gunawan Supiarmo, Turmudi dan Elly Susanti 2021 PROSES BERPIKIR KOMPUTASIONAL SISWA DALAM MENYELESAIKAN SOAL PISA KONTEN CHANGE AND RELATIONSHIP BERDASARKAN SELF-REGULATED LEARNING. Numeracy 8(1) 58-72.

Mufidah I 2018 Profil Berpikir Komputasi dalam Menyelesaiakan Bebras Task Ditinjau dari Kecerdasan Logis Matematis Siswa. Skripsi UIN Sunan Ampel Surabaya, November 1–110.

Patonah S, Nuvitalia D, Saptaningrum E dan Wuryandini E 2020 Inquiry Learning Tools to Train Science Process Skills at The Junior High School Level. JPPS (Jurnal Penelitian Pendidikan Sains) 9(2) 1812–1818.

Nuvitalia D 2014 Elemen Bernalar: Implikasi Dan Akibat-akibat Pada Indikator Mengantisipasi Serta Mencari Solusi Terhadap Masalah Melalui Metakognisi. Jurnal Phenomenon 4(2) 43-52.

Mauliani Annisa 2020 Peran Penting Computational Thinking terhadap Masa Depan Bangsa Indonesia. Jurnal Informatika dan Bisnis 9(2) 1-9




DOI: https://doi.org/10.26877/jp2f.v13i2.12794

Refbacks

  • There are currently no refbacks.


Copyright (c) 2022 Jurnal Penelitian Pembelajaran Fisika

Creative Commons License
This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.

JP3 (Jurnal Pendidikan dan Profesi Pendidik) telah terindeks pada:

         

Creative Commons License

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.