化为行最简形矩阵 ...1 1 2 2 10 2 1 5 -12 0 3 -1 31 1 0 4 -1

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化为行最简形矩阵...112210215-1203-131104-1化为行最简形矩阵...112210215-1203-131104-1化为行最简形矩阵...112210215-1203-131104

化为行最简形矩阵 ...1 1 2 2 10 2 1 5 -12 0 3 -1 31 1 0 4 -1
化为行最简形矩阵 ...
1 1 2 2 1
0 2 1 5 -1
2 0 3 -1 3
1 1 0 4 -1

化为行最简形矩阵 ...1 1 2 2 10 2 1 5 -12 0 3 -1 31 1 0 4 -1
1 1 2 2 1
0 2 1 5 -1
2 0 3 -1 3
1 1 0 4 -1
r3-2r1,r4-r1
1 1 2 2 1
0 2 1 5 -1
0 -2 -1 -5 1
0 0 -2 2 -2
r3+r2,r4*(-1/2)
1 1 2 2 1
0 2 1 5 -1
0 0 0 0 0
0 0 1 -1 1
r1-2r4,r2-r4
1 1 0 4 -1
0 2 0 6 -2
0 0 0 0 0
0 0 1 -1 1
r2*(1/2)
1 1 0 4 -1
0 1 0 3 -1
0 0 0 0 0
0 0 1 -1 1
r1-r2,r3r4
1 0 0 1 0
0 1 0 3 -1
0 0 1 -1 1
0 0 0 0 0

什么意思?行最简型?

1 1 2 2 1 1 1 2 2 1 r3+r2 1 1 2 2 1 r1-2r4 1 1 0 4 0
0 2 1 5 -1 r3-2r1 0 2 1 5 -1 (r2)/2 0 1 0.5 2.5 ...

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1 1 2 2 1 1 1 2 2 1 r3+r2 1 1 2 2 1 r1-2r4 1 1 0 4 0
0 2 1 5 -1 r3-2r1 0 2 1 5 -1 (r2)/2 0 1 0.5 2.5 -0.5 r2-0.5r4 0 1 0 3 1
2 0 3 -1 3 r4-r1 0 -2 -1 -5 1 (r4)/(-2) 0 0 0 0 0 r3←→r4 0 0 1 -1 1
1 1 0 4 -1 --→ 0 0 -2 2 -2 --→ 0 0 1 -1 1 --→ 0 0 0 0 0

r1-r2 1 0 0 1 -1
--→ 0 1 0 3 1
0 0 1 -1 1
0 0 0 0 0

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