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

Khoirunnisa khoirunnisa, Farida Nursyahidah, Nurina Happy

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


literacy; local wisdom; natural and social science; wordwall

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References


Ameliah,I. H. (2016). Pengaruh keingintahuan dan rasa percaya diri siswa terhadap hasil belajar matematika kelas vii mts negeri 1 kota cirebon. Eduma : Mathematics Education Learning and Teaching, 5(1).

Bernard, M. (2015). Meningkatkan kemampuan komunikasi dan penalaran serta disposisi matematik siswa smk dengan pendekatan kontekstual melalui game adobe flash cs 4.0. Infinity Journal, 4(2), 197–222. https://doi.org/10.22460/infinity.v4i2.84

BSNP. (2006). Standar isi untuk satuan pendidikan dasar dan menengah, standar kompetensi dan kompetensi dasar SMP/MTs. Jakarta

Dewi, S. N., & Minarti, E. D. (2018). Hubungan antara self-confidence terhadap matematika dengan kemampuan pemecahan masalah matematik siswa pada materi lingkaran. Mosharafa: Jurnal Pendidikan Matematika, 7(2), 189–198. https://doi.org/10.31980/mosharafa.v7i2.37

Ennis, R. H. (2011). Critical thinking. Pretince-Hall Inc.

Hajar, M. S., & Minarti, E. D. (2019). Pengaruh self confidence siswa SMP terhadap kemampuan berpikir kritis matematis. MAJAMATH: Jurnal Matematika dan Pendidikan Matematika, 2(1), 1-6.

Jumaisyaroh, T., Napitupulu, E. E., & Hasratuddin, H. (2015). Peningkatan kemampuan berpikir kritis matematis dan kemandirian belajar siswa smp melalui pembelajaran berbasis masalah. Kreano, Jurnal Matematika Kreatif-Inovatif, 5(2), 157–169. https://doi.org/10.15294/kreano.v5i2.3325

Leonard,& Amanah, N. (2014). Pengaruh adversity quotient ( AQ ) dan kemampuan berpikir kritis terhadap prestasi belajar matematika. Persepektif Ilmu Pendidikan, 28(1), 55–64.

Nurkholifah, S., Toheri, & Winarso, W. (2018). Hubungan antara self confidence dengan kemampuan berpikir kritis siswa dalam pembelajaran matematika. Pendidikan Matematika, 8(1), 58–66




DOI: https://doi.org/10.26877/imajiner.v4i6.12575

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