摘要
给出整数环上矩阵可逆的充要条件detA=±1和A可表成P(i,j)及P(i,j(k))这一类整初等矩阵的乘积,并由此得到求整数环上矩阵的逆矩阵的方法。同时给出矩阵可逆的一个充分条件。
The product of such matrixes as =1 and matrix notation of A:P(i,j) and P(i,j(k)) for necessary and sufficient condition of invertible matrix in integral ring is given in this paper , resulting in the solution to invertible matrix in integral ring . In the meantime , the sufficient condition of invertible matrix is presented here.
出处
《泰州职业技术学院学报》
2004年第6期3-5,共3页
Journal of Taizhou Polytechnic College
关键词
整数环
整可逆矩阵
整初等变换
integral ring
invertible matrix
integral elementary transformation
