Question

计算四阶行列式D=1 2 3 4 0 1 2 3 1 0 2 3 1 2 0 3

Answer 1

解: D =
r3-r1,r4-r1
1 2 3 4
0 1 2 3
0 -2 -1 -1
0 0 -3 -1
r3+2r2
1 2 3 4
0 1 2 3
0 0 3 5
0 0 -3 -1
r4+r3
1 2 3 4
0 1 2 3
0 0 3 5
0 0 0 4
= 3*4 = 12.