Journal of Chongqing Jiaotong University(Natural Science) ›› 1987, Vol. 6 ›› Issue (3): 115-116.
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Wang Bin
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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
Wang Bin. A Note on the Vandermonde Determinant[J]. Journal of Chongqing Jiaotong University(Natural Science), 1987, 6(3): 115-116.
王斌. Vandermonde行列式的一个注记[J]. 重庆交通大学学报(自然科学版), 1987, 6(3): 115-116.
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