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.
Keywords
Full Text:
PDFReferences
Abrams, M. H. (1953). The mirror and the lamp: Romantic theory and the critical tradition. Oxford University Press.
Balai Bahasa Yogyakarta. (2023). Survei kompetensi bahasa Jawa generasi Z di DIY dan Jateng. Kementerian Pendidikan dan Kebudayaan RI.
Baudrillard, J. (1994). Simulacra and simulation (S. F. Glaser, Trans.). University of Michigan Press. (Karya asli diterbitkan 1981)
Bourdieu, P. (1993). The field of cultural production: Essays on art and literature (R. Johnson, Ed.). Columbia University Press.
Cohen, M. I. (2016). Performing otherness: Java and Bali on international stages, 1905–1952. Palgrave Macmillan.
Creswell, J. W., & Plano Clark, V. L. (2018). Designing and conducting mixed methods research (3rd ed.). Sage.
Endraswara, S. (2012). Teori pengkajian sosiologi sastra. UNY Press.
Geertz, C. (1960). The religion of Java. University of Chicago Press.
Hale, T. A. (1998). Griots and griottes: Masters of words and music. Indiana University Press.
Hobsbawm, E., & Ranger, T. (Eds.). (1983). The invention of tradition. Cambridge University Press.
Kartomi, M. J. (2014). Concepts and processes of music transmission in west Sumatra: The minangkabau and mentawai peoples, and the Siberut shamans. Ashgate.
Kozinets, R. V. (2020). Netnography: The essential guide to qualitative social media research (3rd ed.). Sage.
KGPAA Mangkunagara IV. (1985). Serat Centhini (Jilid I–XII, transliterasi). Yayasan Centhini Yogyakarta. (Naskah asli ±1814)
Laginem, Sukardi, & Supardjo. (1996). Macapat tradisional dalam bahasa Jawa. Departemen Pendidikan dan Kebudayaan.
Lotman, Y. M. (1990). Universe of the mind: A semiotic theory of culture (A. Shukman, Trans.). I. B. Tauris.
Manovich, L. (2020). Cultural analytics. MIT Press.
Miles, M. B., Huberman, A. M., & Saldaña, J. (2014). Qualitative data analysis: A methods sourcebook (3rd ed.). Sage.
Miner, E. (1968). An introduction to Japanese court poetry. Stanford University Press.
Pujianto, A. (t.t.). Tembang mijil sebagai media pendidikan karakter di sekolah dasar. Laporan Penelitian Internal. [Nama Institusi tidak tersedia]
Ratna, N. K. (2012). Teori, metode, dan teknik penelitian sastra: Dari strukturalisme hingga postrukturalisme, perspektif wacana naratif. Pustaka Pelajar.
Ricoeur, P. (1981). Hermeneutics and the human sciences (J. B. Thompson, Ed. & Trans.). Cambridge University Press.
Santosa, P. (2016). Fungsi sosial kemasyarakatan tembang macapat dalam paguyuban macapat di Malang. Widyaparwa, 44(1), 1–14.
Sweeney, A. (1987). A full hearing: Orality and literacy in the Malay world. University of California Press.
Taylor, T. D. (2007). Beyond exoticism: Western music and the world. Duke University Press.
Williams, R. (1977). Marxism and literature. Oxford University Press.
Zoetmulder, P. J. (1974). Kalangwan: A survey of old Javanese literature. Martinus Nijhoff.
DOI: https://doi.org/10.26877/kaloka.v3i2.12326
Refbacks
- There are currently no refbacks.
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.