2个回答
展开全部
AX = A+ X, (A-E)X = A, X = (A-E)^(-1)A
(A-E, A) =
[ 1 2 3 2 2 3]
[ 1 0 0 1 1 0]
[-1 2 2 -1 2 3]
初等行变换为
[ 1 0 0 1 1 0]
[ 0 2 3 1 1 3]
[ 0 2 2 0 3 3]
初等行变换为
[ 1 0 0 1 1 0]
[ 0 1 1 0 3/2 3.2]
[ 0 0 1 1 -2 0]
初等行变换为
[ 1 0 0 1 1 0]
[ 0 1 0 -1 7/2 3/2]
[ 0 0 1 1 -2 0]
X =
[ 1 1 0]
[-1 7/2 3/2]
[ 1 -2 0]
(A-E, A) =
[ 1 2 3 2 2 3]
[ 1 0 0 1 1 0]
[-1 2 2 -1 2 3]
初等行变换为
[ 1 0 0 1 1 0]
[ 0 2 3 1 1 3]
[ 0 2 2 0 3 3]
初等行变换为
[ 1 0 0 1 1 0]
[ 0 1 1 0 3/2 3.2]
[ 0 0 1 1 -2 0]
初等行变换为
[ 1 0 0 1 1 0]
[ 0 1 0 -1 7/2 3/2]
[ 0 0 1 1 -2 0]
X =
[ 1 1 0]
[-1 7/2 3/2]
[ 1 -2 0]
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