我想问道题目,第22题,用初等行变换化矩阵为行阶梯形矩阵,行最简形矩阵
1个回答
0 0 1 1
0 2 0 2
0 3 -1 -1
r2*(1/2),r3-3r2
0 0 1 1
0 1 0 1
0 0 -1 -4
r3+r1
0 0 1 1
0 1 0 1
0 0 0 -3
交换行
0 1 0 1
0 0 1 1
0 0 0 -3
(梯矩阵)
r3*(-1/3),r1-r3,r2-r3
0 1 0 0
0 0 1 0
0 0 0 0
(行最简形)
2 3 4 5 6
1 1 1 1 1
1 2 0 0 0
r1-2r1,r2-r1
0 1 2 3 4
0 -1 1 1 1
1 2 0 0 0
r2+r1
0 1 2 3 4
0 0 3 4 5
1 2 0 0 0
交换行
1 2 0 0 0
0 1 2 3 4
0 0 3 4 5
(梯矩阵)
r3*(1/3),r2-2r3
1 2 0 0 0
0 1 0 1/3 2/3
0 0 1 4/3 5/3
r1-2r2
1 0 0 -2/3 -4/3
0 1 0 1/3 2/3
0 0 1 4/3 5/3
(行最简形)
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