摘要
从矩阵初等变换的定义以及性质出发,首先利用多项式最大公因式的某些性质建立了一种利用矩阵的初等行变换求解多项式最大公因式的方法,然后论述了其在判断向量组的线性相关性、向量组的等价,求子空间的交与和的基与维数方面的应用。
Based on the definition and characters of elementary transformation of matrices,this paper tells a method of using elementary transformation of matrices to get the greatest common factor of polynomial.Applications of the method in linearly dependence of vector group,equivalence of vector group,and the base and dimension of sum of subspace were discussed.
出处
《唐山师范学院学报》
2011年第2期39-42,共4页
Journal of Tangshan Normal University
关键词
多项式
向量组
初等变换
应用研究
object
vector set
elementary grade transformation
application study