第i行提出ai^(n-1)
D = (a1a2...an)^(n-1)
1 b1/a1 ...(b1/a1)^(n-2) (b1/a1)^(n-1)
1 b2/a2 ...(b2/a2)^(n-2) (b2/a2)^(n-1)
.........
1 bn/an ...(bn/an)^(n-2) (bn/an)^(n-1)
--此为Vandermonder行列式
= (a1a2...an)^(n-1)*∏(1
第i行提出ai^(n-1)
D = (a1a2...an)^(n-1)
1 b1/a1 ...(b1/a1)^(n-2) (b1/a1)^(n-1)
1 b2/a2 ...(b2/a2)^(n-2) (b2/a2)^(n-1)
.........
1 bn/an ...(bn/an)^(n-2) (bn/an)^(n-1)
--此为Vandermonder行列式
= (a1a2...an)^(n-1)*∏(1