求线性代数的解答,要过程哦~ 计算行列式│2111│ │1311│ │1141│ │1115│

2025-03-10 11:04:08
推荐回答(1个)
回答1:

解: D =
ri-r1,i=2,3,4
2 1 1 1
-1 2 0 0
-1 0 3 0
-1 0 0 4

c1+(1/2)c2+(1/3)c3+(1/4)c4
2+1/2+1/3+1/4 1 1 1
0 2 0 0
0 0 3 0
0 0 0 4

= (2+1/2+1/3+1/4)*2*3*4
= 74.