来自沈美明的问题
计算行列式010....0002.....0.............................000.....n-1n00......0
计算行列式
010....0
002.....0
...............
..............
000.....n-1
n00......0
1回答
2020-05-18 11:23
计算行列式010....0002.....0.............................000.....n-1n00......0
计算行列式
010....0
002.....0
...............
..............
000.....n-1
n00......0
根据行列式计算法则,选取最后一行,考虑第n行就只有1个元素不为零,且该元素的代数余子式为对角线元素为1~n-1的上三角及下三角阵,由此又
D=n!(-1)^(n+1)