大一线性代数 过程详细点 谢谢
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AB = A + B
(A-E)B = A
B = (A-E)^(-1) A
(A-E, A) =
[ 2 2 3 3 2 3]
[ 1 -1 0 1 0 0]
[-1 2 1 -1 2 2]
行初等变换为
[ 1 -1 0 1 0 0]
[ 0 1 1 0 2 2]
[ 0 4 3 1 2 3]
行初等变换为
[ 1 0 1 1 2 2]
[ 0 1 1 0 2 2]
[ 0 0 -1 1 -6 -5]
行初等变换为
[ 1 0 0 2 -4 -3]
[ 0 1 0 1 -4 -3]
[ 0 0 1 -1 6 5]
得 B =
[ 2 -4 -3]
[ 1 -4 -3]
[-1 6 5]
(A-E)B = A
B = (A-E)^(-1) A
(A-E, A) =
[ 2 2 3 3 2 3]
[ 1 -1 0 1 0 0]
[-1 2 1 -1 2 2]
行初等变换为
[ 1 -1 0 1 0 0]
[ 0 1 1 0 2 2]
[ 0 4 3 1 2 3]
行初等变换为
[ 1 0 1 1 2 2]
[ 0 1 1 0 2 2]
[ 0 0 -1 1 -6 -5]
行初等变换为
[ 1 0 0 2 -4 -3]
[ 0 1 0 1 -4 -3]
[ 0 0 1 -1 6 5]
得 B =
[ 2 -4 -3]
[ 1 -4 -3]
[-1 6 5]
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