{"title":"Proof of a Class of Matrix Rank Identities and its Applications","authors":"XiuHong Feng, Suya Sun","doi":"10.1109/ICIC.2010.189","DOIUrl":null,"url":null,"abstract":"This paper mainly discuss inequality about rank of the sum of matrix, give the condition to hold the identity in above inequality, i.e. if the rank of the sum of matrix equal to the sum of their rank, then they can be transformed synchronously into block diagonal matrix. Lastly, we give its applications for two matrices in linear algebra.","PeriodicalId":176212,"journal":{"name":"2010 Third International Conference on Information and Computing","volume":"57 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2010-06-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2010 Third International Conference on Information and Computing","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICIC.2010.189","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
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Abstract
This paper mainly discuss inequality about rank of the sum of matrix, give the condition to hold the identity in above inequality, i.e. if the rank of the sum of matrix equal to the sum of their rank, then they can be transformed synchronously into block diagonal matrix. Lastly, we give its applications for two matrices in linear algebra.
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