如何将这两个矩阵化为行最简形矩阵
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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
和
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
2 3 0
1 0 2
和
0 0 -1
1 4 -1
-1 -4 2
请写出具体步骤(各步初等变换),
![如何将这两个矩阵化为行最简形矩阵](/uploads/image/z/4742664-24-4.jpg?t=%E5%A6%82%E4%BD%95%E5%B0%86%E8%BF%99%E4%B8%A4%E4%B8%AA%E7%9F%A9%E9%98%B5%E5%8C%96%E4%B8%BA%E8%A1%8C%E6%9C%80%E7%AE%80%E5%BD%A2%E7%9F%A9%E9%98%B5)
(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
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