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Ade Novia Rahma
Universitas Islam Negeri Sultan Syarif Kasim Riau
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Invers Matriks Hankel Bentuk Khusus Ordo (n+1)×(n+1) Menggunakan Metode Adjoin Aryani, Fitri; Virginia, Jeanette Angelica Risci; Muda, Yuslenita; Rahma, Ade Novia; Marzuki, Corry Corazon
Jurnal Matematika Integratif Vol 21, No 2: Oktober 2025
Publisher : Department of Matematics, Universitas Padjadjaran

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24198/jmi.v21.n2.67254.259-270

Abstract

ABSTRAKArtikel ini bertujuan untuk menentukan bentuk umum invers Matriks Hankel berbentuk khusus  dengan menggunakan metode Adjoin. Bentuk umum invers matriks menggunakan metode adjoin diperlukan dua hal, yang pertama bentuk umum determinan Matriks Hankel dan kedua bentuk umum matriks kofaktor dari Matriks Hankel tersebut. Bentuk umum determinan Matriks Hankel diperoleh dengan memperhatikan pola determinan matriks  sampai  dan dibuktikan menggunakan induksi matematika. Bentuk umum matriks kofaktor dioperoleh dengan memperhatikan pola matriks kofaktor  sampai  dan dibuktikan  menggunakan pembuktian langsung. Lebih lanjut bentuk umum invers matriks dipresentasikan dengan menggunakan beberapa contoh soal. Kata Kunci : Determinan, Invers, Matriks Hankel, Matriks Kofaktor, Metode Adjoin.  ABSTRACTThis article aims to determine the general form of the inverse of a specially structured Hankel matrix using the Adjoint method. To derive the general form of the inverse matrix using the adjoint method, two components are required: first, the general form of the determinant of the Hankel matrix, and second, the general form of the cofactor matrix of the Hankel matrix. The general form of the determinant of the Hankel matrix is obtained by observing the determinant patterns of matrices  to  and is proven using mathematical induction. The general form of the cofactor matrix is derived by analyzing the cofactor matrix patterns of  to and is proven using direct proof. Furthermore, the general form of the inverse matrix is presented using several example problems. Keywords :  Adjoin Method,  Cofactor Matrix, Determinant, Hankel Matrix , Invers.  
Co-Authors Abdussakir Abdussakir Anneke De Resta Aprijon Aprijon Ari Pani Desvina Asyura Nurislam, Asyura Auliyah, Nurul Intan Azzahra, Frista Corry Corazon Marzuki Dyan Elvita Sari Elfira Safitri Elfira Saftri Elviyenti, Mona Era Napra Tilopa Sihombing Esty Erizona fitri aryani Fitri Aryani Fitry Aryani Hernita, Hernita Ihza, Mayang Nurul Irawan, Teddy Irma Suryani Irma Suryani Irma Suryani Jannah, Zahratul Jauza, Siti Mardhiyah Kartika Swandayani Lestari, Tri Uci M. Mashadi Maura Anggelina Maura Anggelina Mohammad Soleh Mohammad Soleh Mohammad Soleh muhammad soleh muhammad soleh Nisfi, Wirdatun Norpalian, Pera Peti Nour Fitri Novi Andriani, Novi Novia Arda Putri Nurjannah Nurjannah Okta Dinata Rahel Edrian Rahmawati Rahmawati Rahmawati Rahmawati, Rahmawati Repi Trisna Winti Resi Arisanti Ricken Husnudzan Vitho Ricken Husnudzan Vitho Rielsa, Risca Amelya Rima Erfianti Saniyah Saniyah Sarbaini Sarbaini Septia, Wiwik Shintya Putri Alfianov Putri Alfianov Alfianov Sisi Saputri Siti Mardhiyah Jauza Sri Basriati Sri Gemawati Sri Sukmawati Sri Sukmawati Syafrika Yuliarti Tiara Fitri Tiara Fitri Utami, Muzdhalifah Marinka Virginia, Jeanette Angelica Risci Wartono Wita Wahyuni Wulanda, Velyn Yuniza Yuniza Yuslenita Muda Yusnita Sari Zharifatul Aqilah Zukrianto, Zukrianto