UPAYA MENINGKATKAN HASIL BELAJAR MATEMATIKA DENGAN MODEL THINK PAIR SHARE MATERI BILANGAN CACAH PADA SISWA KELAS II SD MUHAMMADIYAH PLUS SEMARANG

Berlianthy Oktaf Lydia Purnama, Ryky Mandar Sary, Fajar Cahyadi

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


Hasil Belajar, Model Pembelajaran, Think Pair Share

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DOI: https://doi.org/10.26877/wp.v3i2.12801

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Copyright (c) 2023 Berlianthy Oktaf Lydia Purnama

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

Jurnal Wawasan Pendidikan

ISSN 2807-5714 (Print), ISSN 2807-4025 (Online)

Universitas Persatuan Guru Republik Indonesia Semarang
Jl. Sidodadi Timur No. 24 -Dr. Cipto, Semarang

Prasena Arisyanto, S.Pd., M.Pd

Email: prasenaarisyanto@upgris.ac.id

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