Different Definitions of Matrix Rank and Comparation
Abstract:Rank is an inherent characteristic of matrix and it is the basis of matrix analysis.In this paper,we give a third definition on the rank of matrix from the well-known elementary transformation of matrices,and show the equivalence of the three definitions.Finally,we compare the advantages and disadvantages of the three definitions.
Keywords:elementary transformationequivalent matrixranknon-zero sub-typelinear correlation
Publication Date:2011-01-01
Online Publishing Date:2025-08-15(First online date of this platform, not the publication date of the document)
Pages:4( 264-267 )