摘要
主要探究了两个矩阵乘积的秩和前一矩阵行空间与后一矩阵列空间的交空间的维数的关系,并且应用该结论证明了Sylvester不等式,最后得到了Sylvester不等式的本质及其等号成立的充要条件。
In this papar,we mainly explores the relationship between the rank of the product of two matrices and the dimension of the intersection space of the row space of the previous matrix and the column space of the next matrix. Then we use this conclusion to prove the Sylvester inequality, and we explore the nature of the Sylvester inequality and the necessary and sufficient conditions when equals established.
出处
《佛山科学技术学院学报（自然科学版）》
CAS
2013年第6期34-36,共3页
Journal of Foshan University(Natural Science Edition)
