中文核心期刊
CSCD来源期刊
中国科技核心期刊
RCCSE中国核心学术期刊

Journal of Chongqing Jiaotong University(Natural Science) ›› 1987, Vol. 6 ›› Issue (3): 115-116.

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A Note on the Vandermonde Determinant

Wang Bin   

  • Received:1986-09-22 Online:1987-06-22 Published:2016-11-10

Vandermonde行列式的一个注记

王斌   

Abstract: Using Vandermonde determinant, we can prove the following theorem: Assume z1, z2, …, zn∈C satisfying: z1+z2+…+zn=0,z12+z22+…+zn2=0,…z1n+z2n+…+znn=0, then z1=z2=…=zn=0, Where C is the field of complex number.

摘要: 本文给出了Vandermonde行列式的一个应用。即证明了下述定理:设C为复数域,z1,z2,…,zn∈C满足:z1+z2+…+zn=0,z12+z22+…+zn2=0,…z1n+z2n+…+znn=0则z1=z2=…zn=0