使用邻接法计算 3×3 阶正整数幂的逆矩阵 RSLPFLcircfr (0,1/b,0)

Ade Novia Rahma, Velyn Wulanda, Rahmawati Rahmawati, C. C. Marzuki
{"title":"使用邻接法计算 3×3 阶正整数幂的逆矩阵 RSLPFLcircfr (0,1/b,0)","authors":"Ade Novia Rahma, Velyn Wulanda, Rahmawati Rahmawati, C. C. Marzuki","doi":"10.15575/kubik.v8i2.25517","DOIUrl":null,"url":null,"abstract":"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.","PeriodicalId":300313,"journal":{"name":"Kubik: Jurnal Publikasi Ilmiah Matematika","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2023-09-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Inverse Matrix RSLPFLcircfr (0,1/b,0) of Order 3×3 to the Power of Positive Integer Using Adjoin Method\",\"authors\":\"Ade Novia Rahma, Velyn Wulanda, Rahmawati Rahmawati, C. C. Marzuki\",\"doi\":\"10.15575/kubik.v8i2.25517\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"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.\",\"PeriodicalId\":300313,\"journal\":{\"name\":\"Kubik: Jurnal Publikasi Ilmiah Matematika\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2023-09-28\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Kubik: Jurnal Publikasi Ilmiah Matematika\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.15575/kubik.v8i2.25517\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Kubik: Jurnal Publikasi Ilmiah Matematika","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.15575/kubik.v8i2.25517","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0

摘要

矩阵 RSLPFLcircfr 是圆矩阵 RSLPFLcircfr 的一种特殊形式。本研究旨在确定正整数幂的逆矩阵 RSLPFLcircfr 的一般形式。本研究首先确定矩阵 RSLPFLcircfr 的幂的一般形式,然后用数学归纳法证明。接着,预测矩阵 RSLPFLcircfr 的幂的行列式,然后继续利用辅因式展开直接证明矩阵 RSLPFLcircfr 的幂的行列式的形式概化。此外,通过确定矩阵 RSLPFLcircfr 的幂的协因矩阵,我们将利用邻接法得到矩阵 RSLPFLcircfr 的幂的逆矩阵。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Inverse Matrix RSLPFLcircfr (0,1/b,0) of Order 3×3 to the Power of Positive Integer Using Adjoin Method
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.
求助全文
通过发布文献求助,成功后即可免费获取论文全文。 去求助
来源期刊
自引率
0.00%
发文量
0
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
确定
请完成安全验证×
copy
已复制链接
快去分享给好友吧!
我知道了
右上角分享
点击右上角分享
0
联系我们:info@booksci.cn Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术官方微信