Ade Novia Rahma, Resi Arisanti, C. C. Marzuki, Fitri Aryani
{"title":"分配变量Leslie体制的特殊形式n×n矩阵(n≥4)","authors":"Ade Novia Rahma, Resi Arisanti, C. C. Marzuki, Fitri Aryani","doi":"10.24198/jmi.v18.n2.40448.127-139","DOIUrl":null,"url":null,"abstract":"This study aims to determine the inverse of the Leslie matrix of special order n × n ( n ≥ 4) using the Adjoin method. There are three steps to do. First, note the shape of the determinant pattern of the Leslie matrix of special shapes of the order 4 × 4 to 10 × 10 so that the general form is obtained. Second, consider the shape of the cofactor matrix pattern of the Leslie matrix in the special form of the order 4 × 4 to 10 × 10 so that the general form is obtained. Third, the general form of the inverse of the Leslie matrix of the special form of order n × n is obtained based on Theorem 3.1 regarding the general form of the determinant and Theorem 3.2 relating to the general form of the cofactor.","PeriodicalId":53096,"journal":{"name":"Jurnal Matematika Integratif","volume":" ","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2022-12-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Invers Matriks Leslie Bentuk Khusus Ordo n×n (n≥4)\",\"authors\":\"Ade Novia Rahma, Resi Arisanti, C. C. Marzuki, Fitri Aryani\",\"doi\":\"10.24198/jmi.v18.n2.40448.127-139\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This study aims to determine the inverse of the Leslie matrix of special order n × n ( n ≥ 4) using the Adjoin method. There are three steps to do. First, note the shape of the determinant pattern of the Leslie matrix of special shapes of the order 4 × 4 to 10 × 10 so that the general form is obtained. Second, consider the shape of the cofactor matrix pattern of the Leslie matrix in the special form of the order 4 × 4 to 10 × 10 so that the general form is obtained. Third, the general form of the inverse of the Leslie matrix of the special form of order n × n is obtained based on Theorem 3.1 regarding the general form of the determinant and Theorem 3.2 relating to the general form of the cofactor.\",\"PeriodicalId\":53096,\"journal\":{\"name\":\"Jurnal Matematika Integratif\",\"volume\":\" \",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2022-12-13\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Jurnal Matematika Integratif\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.24198/jmi.v18.n2.40448.127-139\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Jurnal Matematika Integratif","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.24198/jmi.v18.n2.40448.127-139","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Invers Matriks Leslie Bentuk Khusus Ordo n×n (n≥4)
This study aims to determine the inverse of the Leslie matrix of special order n × n ( n ≥ 4) using the Adjoin method. There are three steps to do. First, note the shape of the determinant pattern of the Leslie matrix of special shapes of the order 4 × 4 to 10 × 10 so that the general form is obtained. Second, consider the shape of the cofactor matrix pattern of the Leslie matrix in the special form of the order 4 × 4 to 10 × 10 so that the general form is obtained. Third, the general form of the inverse of the Leslie matrix of the special form of order n × n is obtained based on Theorem 3.1 regarding the general form of the determinant and Theorem 3.2 relating to the general form of the cofactor.