摘要
原有 n阶行列式的定义 ,是利用排列的逆序数来定义的 ,虽严密但略显繁复。第二种定义是一种较直观、结构性的定义 ,它是以二阶行列式为基础的 ,较简洁。文献 [1]中已给出一种等价性证明 ,但比较繁琐 ,而且由于篇幅所限 ,做了许多删简。本文从另一个角度给出一个比较简练完整的与原定义等价的证明。
The original definition of n th determinant is defined by the inverse sequence of numbers of permutation.It is rigorous,but a little complex.The second definition,which is given before,is intuitive and stuctural.The definition is based on 2 nd determinant with terse.In refrence[1],the proof of one kind of equivalence definition is given,in a confine pattern due to the limited space.In this paper,a new proof of equivalence to the original definition of the determinant is proposed in brief and completeness from another viewpoint.
出处
《桂林电子工业学院学报》
2000年第1期49-51,共3页
Journal of Guilin Institute of Electronic Technology
关键词
行列式
初等变换
等价性证明
n th determinant,elementary transformation,angle binomial,number of element product
