如何将这两个矩阵化为行最简形矩阵1 1 1 2 3 01 0 2和0 0 -11 4 -1-1 -4 2请写出具体步骤(各步初等变换),

问题描述:

如何将这两个矩阵化为行最简形矩阵
1 1 1
2 3 0
1 0 2

0 0 -1
1 4 -1
-1 -4 2
请写出具体步骤(各步初等变换),

(1)
1 1 1
2 3 0
1 0 2
r2-2r1,r3-r1
1 1 1
0 1 -2
0 -1 1
r1-r2,r3+r2
1 0 3
0 1 -2
0 0 -1
r3*(-1),r1-3r3,r2+2r3
1 0 0
0 1 0
0 0 1
(2)
0 0 -1
1 4 -1
-1 -4 2
r3+r2
0 0 -1
1 4 -1
0 0 1
r1*(-1),r2+r1,r3-r1
0 0 1
1 4 0
0 0 0
r1r2
1 4 0
0 0 1
0 0 0