摘要
首先给出范德蒙行列式的一个新的证明,与以前的证明相比,本文给出的证明更具有通用性.其次介绍范德蒙行列式在n阶行列式计算和在向量组线性相关性证明中的两个应用.
First, a new proof is presented for Vandermonde determinant. Comparison with the previous proof, the method now has the general meaning. Second, two applications are showed between n-order determinant calculation and the proof about linear dependency of the set of vectors.
出处
《大学数学》
2011年第6期135-139,共5页
College Mathematics
基金
浙江农林大学教学改革研究项目(WT1104)
关键词
范德蒙行列式
行列式按列展开
向量组线性相关性
Vandermonde determinant
determinant expansion by column
linear dependency of the set of vectors