四阶行列式计算,4 1 2 41 2 0 210 - 知识问答

四阶行列式计算,4 1 2 41 2 0 210 5 2 00 1 1 7感激不尽···（希望有详细的解答过程···）

2个回答

4 1 2 4
1 2 0 2
10 5 2 0
0 1 1 7
r2-(1/4)r1:
4 1 2 4
0 7/4 -1/2 1
10 5 2 0
0 1 1 7
r3-(5/2)r1:
4 1 2 4
0 7/4 -1/2 1
0 5/2 -3 -10
0 1 1 7
r3-(10/7)r2:
4 1 2 4
0 7/4 -1/2 1
0 0 -16/7 -80/7
0 1 1 7
r4-(4/7)r2:
4 1 2 4
0 7/4 -1/2 1
0 0 -16/7 -80/7
0 0 9/7 45/7
r4-(-9/16)r3:
4 1 2 4
0 7/4 -1/2 1
0 0 -16/7 -80/7
0 0 0 0
=4*(7/4)*(-16/7)*0
=0

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