求助线性代数一道题,第一问,谢谢
1个回答
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(1) (A, E) =
[1 2 3 1 0 0]
[2 2 1 0 1 0]
[3 4 3 0 0 1]
初等行变换为
[1 2 3 1 0 0]
[0 -2 -5 -2 1 0]
[0 -2 -6 -3 0 1]
初等行变换为
[1 0 -2 -1 1 0]
[0 -2 -5 -2 1 0]
[0 0 -1 -1 -1 1]
初等行变换为
[1 0 0 1 3 -2]
[0 -2 0 3 6 -5]
[0 0 1 1 1 -1]
初等行变换为
[1 0 0 1 3 -2]
[0 1 0 -3/2 -3 5/2]
[0 0 1 1 1 -1]
D =
[1 3 -2]
[-3/2 -3 5/2]
[ 1 1 -1]
[1 2 3 1 0 0]
[2 2 1 0 1 0]
[3 4 3 0 0 1]
初等行变换为
[1 2 3 1 0 0]
[0 -2 -5 -2 1 0]
[0 -2 -6 -3 0 1]
初等行变换为
[1 0 -2 -1 1 0]
[0 -2 -5 -2 1 0]
[0 0 -1 -1 -1 1]
初等行变换为
[1 0 0 1 3 -2]
[0 -2 0 3 6 -5]
[0 0 1 1 1 -1]
初等行变换为
[1 0 0 1 3 -2]
[0 1 0 -3/2 -3 5/2]
[0 0 1 1 1 -1]
D =
[1 3 -2]
[-3/2 -3 5/2]
[ 1 1 -1]
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