算一个行列式111...1120...0103...0.100...n

来源:学生作业帮助网 编辑:六六作业网 时间:2024/07/14 03:50:32
算一个行列式111...1120...0103...0.100...n算一个行列式111...1120...0103...0.100...n算一个行列式111...1120...0103...0.10

算一个行列式111...1120...0103...0.100...n
算一个行列式
111...1
120...0
103...0
.
100...n

算一个行列式111...1120...0103...0.100...n
第二列起,每列分别乘以-1/i (i表示i列i>=2)
结果为(1-1/2-1/3-...-1/n)*2*3*...*n