四阶行列式求详解1 1 -1 3-1 -1 2 12 5 2 11 2 3 2

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四阶行列式求详解11-13-1-12125211232四阶行列式求详解11-13-1-12125211232四阶行列式求详解11-13-1-12125211232r2+r1、r3-r1*2、r4-r1

四阶行列式求详解1 1 -1 3-1 -1 2 12 5 2 11 2 3 2
四阶行列式求详解
1 1 -1 3
-1 -1 2 1
2 5 2 1
1 2 3 2

四阶行列式求详解1 1 -1 3-1 -1 2 12 5 2 11 2 3 2
r2+r1、r3-r1*2、r4-r1
|1 1 -1 3|
0 0 1 4
0 3 4 -5
0 1 4 -1
r3-r4*3
|1 1 -1 3|
0 0 1 4
0 0 -8 -2
0 1 4 -1
r2+r3*2
|1 1 -1 3|
0 0 -15 0
0 0 -8 -2
0 1 4 -1
r2、r4交换;c3、c4交换
|1 1 3 -1|
0 1 -1 4
0 0 -2 -8
0 0 0 -15
=1*1*(-2)*(-15)=30