摘要
利用线性代数的方法,证明每个方阵都能分解为一个幂等阵与一个可逆阵的和且二者可交换,也可以表示为一个幂等阵与一个可逆阵的乘积.
By means of the methods of linear algebras, proved that every square matrix can be expressed as the sum of an idempotent matrix and an invertible matrix which commute with each other, and also can be written as the product of an idempotent matrix and an invertible matrix.
出处
《高师理科学刊》
2013年第5期6-8,共3页
Journal of Science of Teachers＇College and University
基金
国家自然科学基金资助项目(11201064)
安徽师范大学人才培育项目(2012rcpy040)
关键词
方阵
幂等阵
可逆阵
秩
square matrix
idempotent matrix
invertible matrix
rank
