3请解答图中计算题:请写出主要步骤
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3请解答图中计算题:请写出主要步骤
![3请解答图中计算题:请写出主要步骤](/uploads/image/z/4261041-9-1.jpg?t=3%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)
增广矩阵 =
1 1 0 -3 -1 2
1 -1 2 -1 0 1
4 -2 6 3 -4 8
2 4 -2 4 -7 9
r2-r1,r3-4r1,r4-2r1
1 1 0 -3 -1 2
0 -2 2 2 1 -1
0 -6 6 15 0 0
0 2 -2 10 -5 5
r3*(-1/6)
1 1 0 -3 -1 2
0 -2 2 2 1 -1
0 1 -1 -5/2 0 0
0 2 -2 10 -5 5
r1-r3,r2+2r3,r4-2r3
1 0 1 -1/2 -1 2
0 0 0 -3 1 -1
0 1 -1 -5/2 0 0
0 0 0 15 -5 5
r4+5r2,r2*(1/3),
1 0 1 -1/2 -1 2
0 0 0 1 -1/3 1/3
0 1 -1 -5/2 0 0
0 0 0 0 0 0
r1+(1/2)r2,r3+(5/2)r2
1 0 1 0 -7/6 13/6
0 0 0 1 -1/3 1/3
0 1 -1 0 -5/6 5/6
0 0 0 0 0 0
r2r3
1 0 1 0 -7/6 13/6
0 1 -1 0 -5/6 5/6
0 0 0 1 -1/3 1/3
0 0 0 0 0 0
全部解为:(13/6,5/6,0,1/3,0)'+c1(1,-1,-1,0,0)'+c2(7,5,0,2,6)'.
1 1 0 -3 -1 2
1 -1 2 -1 0 1
4 -2 6 3 -4 8
2 4 -2 4 -7 9
r2-r1,r3-4r1,r4-2r1
1 1 0 -3 -1 2
0 -2 2 2 1 -1
0 -6 6 15 0 0
0 2 -2 10 -5 5
r3*(-1/6)
1 1 0 -3 -1 2
0 -2 2 2 1 -1
0 1 -1 -5/2 0 0
0 2 -2 10 -5 5
r1-r3,r2+2r3,r4-2r3
1 0 1 -1/2 -1 2
0 0 0 -3 1 -1
0 1 -1 -5/2 0 0
0 0 0 15 -5 5
r4+5r2,r2*(1/3),
1 0 1 -1/2 -1 2
0 0 0 1 -1/3 1/3
0 1 -1 -5/2 0 0
0 0 0 0 0 0
r1+(1/2)r2,r3+(5/2)r2
1 0 1 0 -7/6 13/6
0 0 0 1 -1/3 1/3
0 1 -1 0 -5/6 5/6
0 0 0 0 0 0
r2r3
1 0 1 0 -7/6 13/6
0 1 -1 0 -5/6 5/6
0 0 0 1 -1/3 1/3
0 0 0 0 0 0
全部解为:(13/6,5/6,0,1/3,0)'+c1(1,-1,-1,0,0)'+c2(7,5,0,2,6)'.