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Inverse Matrix RSLPFLcircfr (0,1/b,0) of Order 3×3 to the Power of Positive Integer Using Adjoin Method

KUBIK: Jurnal Publikasi Ilmiah Matematika · Vol. 8 No. 2 (2023) · hlm. 65–78

DOI
10.15575/kubik.v8i2.25517
ISSN
2686-0341, 2338-0896
Terbit
2023-09-28
Penerbit
Department of Mathematics, Faculty of Science and Technology, UIN Sunan Gunung Djati Bandung
Bahasa
eng

Abstrak

The matrix RSLPFLcircfr  is a particular form of the circular matrix RSLPFLcircfrÂ. This study aims to determine the general form of the inverse matrix RSLPFLcircfr  to the power of positive integers. This research begins by determining the general form of the power of the matrix RSLPFLcircfr  which is then proven by using mathematical induction. Next, predicting the determinant of the power of the matrix RSLPFLcircfr which is then continued by proving the form generalization of the determinant of the power of the matrix RSLPFLcircfr by direct proof using cofactor expansion. Furthermore, by determining the cofactor matrix of the power of the matrix RSLPFLcircfr  we will obtain the inverse of the matrix to the power of the matrix RSLPFLcircfr  using the adjoin method.

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  • Universitas Islam Negeri Sultan Syarif Kasim Riau
  • Institut Agama Islam Negeri Kendari
  • Universitas Halu Oleo
  • Caltex Riau Polytechnic
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Rekan penulisOrganisasiArtikel bersama
Yuslenita MudaUniversitas Islam Negeri Sultan Syarif Kasim Riau2
Elfira SafitriUniversitas Islam Negeri Sultan Syarif Kasim Riau2
Siti NurhalimaInstitut Agama Islam Negeri Kendari1
Widya NingsihInstitut Agama Islam Negeri Kendari1
Kadir KadirUniversitas Halu Oleo1
La MasiUniversitas Halu Oleo1
Jafar JafarUniversitas Halu Oleo1
Fitri AryaniUniversitas Islam Negeri Sultan Syarif Kasim Riau1
Dian Ayu PuspitaUniversitas Islam Negeri Sultan Syarif Kasim Riau1
Aminah UtamiUniversitas Islam Negeri Sultan Syarif Kasim Riau1
Mona ElviyentiCaltex Riau Polytechnic1
Sri - BasriatiAfiliasi tidak diketahui1
Syafrika YuliartiUniversitas Islam Negeri Sultan Syarif Kasim Riau1
Muhammad SolehUniversitas Islam Negeri Sultan Syarif Kasim Riau1
Mohammad SolehUniversitas Islam Negeri Sultan Syarif Kasim Riau1
Sri BasriatiUniversitas Islam Negeri Sultan Syarif Kasim Riau1

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Sumber metadata: OAI-PMH (metadata jurnal) https://journal.uinsgd.ac.id/index.php/kubik/oai, pertama di-harvest 7 Nov 2026, terakhir terlihat 8 Nov 2026.
Metadata asli (oai_dc) 
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	<dc:title xml:lang="en-US">Inverse Matrix RSLPFLcircfr (0,1/b,0) of Order 3×3 to the Power of Positive Integer Using Adjoin Method</dc:title>
	<dc:creator>Rahma, Ade Novia</dc:creator>
	<dc:creator>Wulanda, Velyn</dc:creator>
	<dc:creator>Rahmawati, Rahmawati</dc:creator>
	<dc:creator>Marzuki, Corry Corazon</dc:creator>
	<dc:subject xml:lang="en-US">Keywords</dc:subject>
	<dc:subject xml:lang="en-US">Inverse</dc:subject>
	<dc:subject xml:lang="en-US">Adjoin Methods</dc:subject>
	<dc:subject xml:lang="en-US">RSLPFLcircfr.</dc:subject>
	<dc:description xml:lang="en-US">The matrix RSLPFLcircfr  is a particular form of the circular matrix RSLPFLcircfr . This study aims to determine the general form of the inverse matrix RSLPFLcircfr  to the power of positive integers. This research begins by determining the general form of the power of the matrix RSLPFLcircfr  which is then proven by using mathematical induction. Next, predicting the determinant of the power of the matrix RSLPFLcircfr which is then continued by proving the form generalization of the determinant of the power of the matrix RSLPFLcircfr by direct proof using cofactor expansion. Furthermore, by determining the cofactor matrix of the power of the matrix RSLPFLcircfr  we will obtain the inverse of the matrix to the power of the matrix RSLPFLcircfr  using the adjoin method.</dc:description>
	<dc:publisher xml:lang="en-US">Department of Mathematics, Faculty of Science and Technology, UIN Sunan Gunung Djati Bandung</dc:publisher>
	<dc:date>2023-09-28</dc:date>
	<dc:type>info:eu-repo/semantics/article</dc:type>
	<dc:type>info:eu-repo/semantics/publishedVersion</dc:type>
	<dc:type xml:lang="en-US">Peer-reviewed Article</dc:type>
	<dc:format>application/pdf</dc:format>
	<dc:identifier>https://journal.uinsgd.ac.id/index.php/kubik/article/view/25517</dc:identifier>
	<dc:identifier>10.15575/kubik.v8i2.25517</dc:identifier>
	<dc:source xml:lang="en-US">KUBIK: Jurnal Publikasi Ilmiah Matematika; Vol. 8 No. 2 (2023): KUBIK: Jurnal Publikasi Ilmiah Matematika; 65 - 78</dc:source>
	<dc:source xml:lang="id-ID">KUBIK; Vol 8 No 2 (2023): KUBIK: Jurnal Publikasi Ilmiah Matematika; 65 - 78</dc:source>
	<dc:source>2686-0341</dc:source>
	<dc:source>2338-0896</dc:source>
	<dc:source>10.15575/kubik.v8i2</dc:source>
	<dc:language>eng</dc:language>
	<dc:relation>https://journal.uinsgd.ac.id/index.php/kubik/article/view/25517/9917</dc:relation>
	<dc:rights xml:lang="en-US">Copyright (c) 2023 Ade Novia Rahma, Velyn Wulanda, Rahmawati Rahmawati, Corry Corazon Marzuki</dc:rights>
</oai_dc:dc>