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AX = B, X = A^(-1)B
(A, B) =
[ 1 0 0 1 4 2]
[ 2 3 0 0 2 1]
[-1 4 2 0 0 3]
初等行变换为
[ 1 0 0 1 4 2]
[ 0 3 0 -2 -6 -3]
[ 0 4 2 1 4 5]
初等行变换为
[ 1 0 0 1 4 2]
[ 0 1 0 -2/3 -2 -1]
[ 0 0 2 11/3 12 9]
初等行变换为
[ 1 0 0 1 4 2]
[ 0 1 0 -2/3 -2 -1]
[ 0 0 1 11/6 6 9/2]
X =
[ 1 4 2]
[-2/3 -2 -1]
[11/6 6 9/2]
(A, B) =
[ 1 0 0 1 4 2]
[ 2 3 0 0 2 1]
[-1 4 2 0 0 3]
初等行变换为
[ 1 0 0 1 4 2]
[ 0 3 0 -2 -6 -3]
[ 0 4 2 1 4 5]
初等行变换为
[ 1 0 0 1 4 2]
[ 0 1 0 -2/3 -2 -1]
[ 0 0 2 11/3 12 9]
初等行变换为
[ 1 0 0 1 4 2]
[ 0 1 0 -2/3 -2 -1]
[ 0 0 1 11/6 6 9/2]
X =
[ 1 4 2]
[-2/3 -2 -1]
[11/6 6 9/2]
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