%0 Journal Article
%T The Research on the Problems of Integer Matrix
%A SUN Chun-tao
%A JIAN Hong
%J Journal of Chongqing Normal University
%D 2013
%I Chongqing Normal University
%X Because the element on the metal ring may not have the inverse, so the theorems on the matrix in field would perhaps incorrect. In this article, I mainly do research on the eigenvalue, eigenvector and similar diagonalization. These results are: integer matrix can change into upper triangular matrix through integer elementary row operation; two necessary and sufficient conditions about similarity diagonalization of integer matrix; if the integer matrix has different eigenvalue, it can diagonalizable if and only if it is an integer diagonal matrix.
%K integer matrix£»similarity£»diagonalization
%K eigenvalue
%K eigenvector
%U http://journal.cqnu.edu.cn/1302/pdf/130209.pdf