2请解答图中计算题:请写出主要步骤
来源:学生作业帮 编辑:搜搜考试网作业帮 分类:数学作业 时间:2024/08/18 01:08:21
2请解答图中计算题:请写出主要步骤
![](http://img.wesiedu.com/upload/d/8c/d8ce0f23a63e3d9a41667f4c6cc84061.jpg)
![](http://img.wesiedu.com/upload/d/8c/d8ce0f23a63e3d9a41667f4c6cc84061.jpg)
![2请解答图中计算题:请写出主要步骤](/uploads/image/z/4261042-10-2.jpg?t=2%E8%AF%B7%E8%A7%A3%E7%AD%94%E5%9B%BE%E4%B8%AD%E8%AE%A1%E7%AE%97%E9%A2%98%EF%BC%9A%E8%AF%B7%E5%86%99%E5%87%BA%E4%B8%BB%E8%A6%81%E6%AD%A5%E9%AA%A4)
系数矩阵 =
2 1 -1 -1 1
1 -1 1 1 -2
3 3 -3 -3 4
4 5 -5 -5 7
r1+r2,r3+3r2,r4+5r2
3 0 0 0 -1
1 -1 1 1 -2
6 0 0 0 -2
9 0 0 0 -3
r3-2r1,r4-3r1,r1*(1/3)
1 0 0 0 -1/3
1 -1 1 1 -2
0 0 0 0 0
0 0 0 0 0
r2-r1,r2*(-1)
1 0 0 0 -1/3
0 1 -1 -1 5/3
0 0 0 0 0
0 0 0 0 0
基础解系为:(0,1,1,0,0)',(0,1,0,1,0)',(1,-5,0,0,3)'
全部解为:c1(0,1,1,0,0)'+c2(0,1,0,1,0)'+c3 (1,-5,0,0,3)'
2 1 -1 -1 1
1 -1 1 1 -2
3 3 -3 -3 4
4 5 -5 -5 7
r1+r2,r3+3r2,r4+5r2
3 0 0 0 -1
1 -1 1 1 -2
6 0 0 0 -2
9 0 0 0 -3
r3-2r1,r4-3r1,r1*(1/3)
1 0 0 0 -1/3
1 -1 1 1 -2
0 0 0 0 0
0 0 0 0 0
r2-r1,r2*(-1)
1 0 0 0 -1/3
0 1 -1 -1 5/3
0 0 0 0 0
0 0 0 0 0
基础解系为:(0,1,1,0,0)',(0,1,0,1,0)',(1,-5,0,0,3)'
全部解为:c1(0,1,1,0,0)'+c2(0,1,0,1,0)'+c3 (1,-5,0,0,3)'