1 2 2 ...2 2 2 2...2 2 2 3...2 ............2 2 2...n 这个用行列式怎么算?

问题描述:

1 2 2 ...2 2 2 2...2 2 2 3...2 ............2 2 2...n 这个用行列式怎么算?

所有行减第2行
D =
-1 0 0 ...0
2 2 2 ...2
0 0 1 ...0
...
0 0 0 ...n-2
c1-c2
-1 0 0 ...0
0 2 2 ...2
0 0 1 ...0
...
0 0 0 ...n-2
D = -2 (n-2)!