四阶行列式怎么计算 -2 2 -4 0;4 -1 3 5;3 1 -2 -3;2 0 5 用上三角行列式做
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|-2 2 -4 0;
4 -1 3 5;
3 1 -2 -3;
2 0 5 1|
=-2*
|1 -1 2 0;
4 -1 3 5;
3 1 -2 -3;
2 0 5 1|
=-2*
|1 -1 2 0
0 3 -5 5
0 4 -8 -3
0 2 1 1|
=
-2*
|1 -1 2 0
0 1 -6 4
0 4 -8 -3
0 2 1 1|
=
-2*
|1 -1 2 0
0 1 -6 4
0 0 16 -19
0 0 13 -7|
=
-2*
|1 -1 2 0
0 1 -6 4
0 0 16 -19
0 0 0 135/16|
=-2×1×1×16×135/16
=-270
4 -1 3 5;
3 1 -2 -3;
2 0 5 1|
=-2*
|1 -1 2 0;
4 -1 3 5;
3 1 -2 -3;
2 0 5 1|
=-2*
|1 -1 2 0
0 3 -5 5
0 4 -8 -3
0 2 1 1|
=
-2*
|1 -1 2 0
0 1 -6 4
0 4 -8 -3
0 2 1 1|
=
-2*
|1 -1 2 0
0 1 -6 4
0 0 16 -19
0 0 13 -7|
=
-2*
|1 -1 2 0
0 1 -6 4
0 0 16 -19
0 0 0 135/16|
=-2×1×1×16×135/16
=-270
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