Dn=|a 1 1 ··· 1 1 =( )1 a 1 ··· 1 1·· ·· ·· ··· ·· ··1 1 1 ··· a 11 1 1 ··· 1 a|

来源：学生作业帮助网编辑：六六作业网时间：2024/11/16 14:57:52

Dn=|a11···11=()1a1···11·············111···a1111···1a|Dn=|a11···11=()1a1···11·············111···a1111

Dn=|a 1 1 ··· 1 1 =( )1 a 1 ··· 1 1·· ·· ·· ··· ·· ··1 1 1 ··· a 11 1 1 ··· 1 a|
Dn=|a 1 1 ··· 1 1 =( )
1 a 1 ··· 1 1
·· ·· ·· ··· ·· ··
1 1 1 ··· a 1
1 1 1 ··· 1 a|

Dn=|a 1 1 ··· 1 1 =( )1 a 1 ··· 1 1·· ·· ·· ··· ·· ··1 1 1 ··· a 11 1 1 ··· 1 a|
把每一行都加到第一行,则第一行为（a+n-1）提出,第一行都为1
然后每一行都减去第一行得到上三角形
答案（a+n-1）*（a-1）^(n-1)