{"title":"Determinante nulo e sistemas lineares","authors":"Claudemir Aniz, João Vitor Torrezan","doi":"10.21711/2319023x2022/pmo1017","DOIUrl":null,"url":null,"abstract":"The determinant function associates to every square matrix A the number det A, defined through of sums of the products of its terms. Such number carries characteristics of the matrix, for example, if det A ≠ 0, the matrix is invertible and linear systems that has the coefficients given by A has a unique solution. The interpretation of det A = 0 and its consequences in the solution set of linear systems are little explored in general. This is the case we will cover.","PeriodicalId":274953,"journal":{"name":"Revista Professor de Matemática On line","volume":"146 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Revista Professor de Matemática On line","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.21711/2319023x2022/pmo1017","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
行列式函数与每一个方阵A相关联，det A是由它的项的乘积的和定义的。这个数带有矩阵的特征，如det A≠0，则矩阵是可逆的，具有A给出的系数的线性系统有唯一解。一般来说，det A = 0的解释及其在线性系统解集中的结果很少被探讨。这就是我们将要讨论的情况。
The determinant function associates to every square matrix A the number det A, defined through of sums of the products of its terms. Such number carries characteristics of the matrix, for example, if det A ≠ 0, the matrix is invertible and linear systems that has the coefficients given by A has a unique solution. The interpretation of det A = 0 and its consequences in the solution set of linear systems are little explored in general. This is the case we will cover.
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