仏 wikipedia https://fr.wikipedia.org/wiki/Th%C3%A9or%C3%A8me_du_rang Théorème du rang （google 英訳） Rank theorem In mathematics , and more precisely in linear algebra , the rank theorem links the rank of a linear application and the dimension of its kernel . It is a corollary of an isomorphism theorem . It can be interpreted by the notion of linear application index . In finite dimension, it allows in particular to characterize the invertibility of a linear application or of a matrix by its rank. (引用終り) 以上 []
