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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
Terbit
2022-11-06
Penerbit
Universitas PGRI Semarang
Bahasa
eng
Lisensi
creativecommons.org/licenses/by-sa/4.0

Abstrak

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.

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Sumber metadata: OAI-PMH (metadata jurnal) http://journal.upgris.ac.id/index.php/asset/oai, pertama di-harvest 8 Nov 2026, terakhir terlihat 8 Nov 2026.
Metadata asli (oai_dc) 
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	<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>