急急急!!!拜托拜托各位!!大一线性代数题 重点求书写过程
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4(1) (A, E) =
[3 2 1 1 0 0]
[3 1 5 0 1 0]
[3 2 3 0 0 1]
初等行变换为
[3 2 1 1 0 0]
[0 -1 4 -1 1 0]
[0 0 2 -1 0 1]
初等行变换为
[3 2 0 3/2 0 -1/2]
[0 -1 0 1 1 -2]
[0 0 1 -1/2 0 1/2]
初等行变换为
[3 0 0 7/2 2 -9/2]
[0 1 0 -1 -1 2]
[0 0 1 -1/2 0 1/2]
初等行变换为
[1 0 0 7/6 2/3 -3/2]
[0 1 0 -1 -1 2]
[0 0 1 -1/2 0 1/2]
A^(-1) =
[ 7/6 2/3 -3/2]
[ -1 -1 2]
[-1/2 0 1/2]
5(1) X = A^(-1)B
(A, B) =
[4 1 -2 1 -3]
[2 2 1 2 2]
[3 1 -1 3 -1]
初等行变换为
[1 1 1/2 1 1]
[0 -3 -4 -3 -7]
[0 -2 -5/2 0 -4]
初等行变换为
[1 0 -5/6 0 -4/3]
[0 1 4/3 1 7/3]
[0 0 1/6 2 2/3]
初等行变换为
[1 0 0 10 2]
[0 1 0 -15 -3]
[0 0 1 12 4]
X = A^(-1)B =
[ 10 2]
[-15 -3]
[ 12 4]
[3 2 1 1 0 0]
[3 1 5 0 1 0]
[3 2 3 0 0 1]
初等行变换为
[3 2 1 1 0 0]
[0 -1 4 -1 1 0]
[0 0 2 -1 0 1]
初等行变换为
[3 2 0 3/2 0 -1/2]
[0 -1 0 1 1 -2]
[0 0 1 -1/2 0 1/2]
初等行变换为
[3 0 0 7/2 2 -9/2]
[0 1 0 -1 -1 2]
[0 0 1 -1/2 0 1/2]
初等行变换为
[1 0 0 7/6 2/3 -3/2]
[0 1 0 -1 -1 2]
[0 0 1 -1/2 0 1/2]
A^(-1) =
[ 7/6 2/3 -3/2]
[ -1 -1 2]
[-1/2 0 1/2]
5(1) X = A^(-1)B
(A, B) =
[4 1 -2 1 -3]
[2 2 1 2 2]
[3 1 -1 3 -1]
初等行变换为
[1 1 1/2 1 1]
[0 -3 -4 -3 -7]
[0 -2 -5/2 0 -4]
初等行变换为
[1 0 -5/6 0 -4/3]
[0 1 4/3 1 7/3]
[0 0 1/6 2 2/3]
初等行变换为
[1 0 0 10 2]
[0 1 0 -15 -3]
[0 0 1 12 4]
X = A^(-1)B =
[ 10 2]
[-15 -3]
[ 12 4]
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