Melola Discovery

← Melola Discovery

Open access Journal SINTA 1

Feasibility Study of Solar Power Generation System for Public Street Lighting

Advance Sustainable Science, Engineering and Technology (ASSET) · Vol. 4 No. 2 (2022)

DOI
10.26877/asset.v4i2.13378
ISSN
2715-4211, 2715-4211
Published
2022-11-06
Publisher
Universitas PGRI Semarang
Language
eng
License
creativecommons.org/licenses/by-sa/4.0

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

Collaboration network of the authors

12 authors · 48 co-authorship links

Hover or tap a name to highlight its co-authors. Double-click to open the author's page.

  • Affiliation unknown
  • Different organisations
  • Same organisation
  • Affiliation unknown
  • Thicker line = more joint articles · bigger circle = more articles
Show as table
Co-authorOrganisationJoint articles
Margono MargonoAffiliation unknown1
Harto NurosoAffiliation unknown1
Muhammad AmiruddinAffiliation unknown1
Muhammad Afta Dzikril HakimAffiliation unknown1
Ken HastoAffiliation unknown1
Carsoni CarsoniAffiliation unknown1
Irna FarikhahAffiliation unknown1
Yuris SetyoadiAffiliation unknown1
Ummi KaltsumAffiliation unknown1

Affiliations come from OpenAlex; journal OAI-PMH metadata carries none. Authors without an OpenAlex ID are matched by name, which can merge or split people.

Metadata source: OAI-PMH (metadata jurnal) http://journal.upgris.ac.id/index.php/asset/oai, first harvested 8 Nov 2026, last seen 8 Nov 2026.
Original metadata (oai_dc)
<oai_dc:dc xmlns="http://www.openarchives.org/OAI/2.0/" xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:oai_dc="http://www.openarchives.org/OAI/2.0/oai_dc/" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.openarchives.org/OAI/2.0/oai_dc/  http://www.openarchives.org/OAI/2.0/oai_dc.xsd">
	<dc:title xml:lang="en-US">Feasibility Study of Solar Power Generation System for Public Street Lighting</dc:title>
	<dc:creator>Ibrahim, Muhammad Fadel</dc:creator>
	<dc:creator>Harjanto, Imadudin</dc:creator>
	<dc:creator>Kunaryo, Bambang Hadi</dc:creator>
	<dc:subject xml:lang="en-US">literacy; local wisdom; natural and social science; wordwall</dc:subject>
	<dc:description xml:lang="en-US">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.</dc:description>
	<dc:publisher xml:lang="en-US">Universitas PGRI Semarang</dc:publisher>
	<dc:contributor xml:lang="en-US">PLN UPJ BUMIAYU, DINAS PERHUBUNGAN KABUPATEN BREBES</dc:contributor>
	<dc:date>2022-11-06</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.upgris.ac.id/index.php/asset/article/view/asset.v4i2.13378</dc:identifier>
	<dc:identifier>10.26877/asset.v4i2.13378</dc:identifier>
	<dc:source xml:lang="en-US">Advance Sustainable Science, Engineering and Technology; Vol 4, No 2 (2022): May-October; 0220207</dc:source>
	<dc:source>2715-4211</dc:source>
	<dc:source>2715-4211</dc:source>
	<dc:language>eng</dc:language>
	<dc:relation>https://journal.upgris.ac.id/index.php/asset/article/view/asset.v4i2.13378/pdf</dc:relation>
	<dc:rights xml:lang="en-US">Copyright (c) 2022 Advance Sustainable Science Engineering and Technology</dc:rights>
	<dc:rights xml:lang="en-US">https://creativecommons.org/licenses/by-sa/4.0</dc:rights>
</oai_dc:dc>