这道题该怎么做,求助大佬
1个回答
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AX = A + 2X
(A-2E)X = A
X = (A-2E)^(-1) A
( A-2E, A ) =
[1 0 1 3 0 1]
[1 -1 0 1 1 0]
[0 1 2 0 1 4]
初等行变换为
[1 0 1 3 0 1]
[0 -1 -1 -2 1 -1]
[0 1 2 0 1 4]
初等行变换为
[1 0 1 3 0 1]
[0 1 1 2 -1 1]
[0 0 1 -2 2 3]
初等行变换为
[1 0 0 5 -2 -2]
[0 1 0 4 -3 -2]
[0 0 1 -2 2 3]
X =
[ 5 -2 -2]
[ 4 -3 -2]
[-2 2 3]
(A-2E)X = A
X = (A-2E)^(-1) A
( A-2E, A ) =
[1 0 1 3 0 1]
[1 -1 0 1 1 0]
[0 1 2 0 1 4]
初等行变换为
[1 0 1 3 0 1]
[0 -1 -1 -2 1 -1]
[0 1 2 0 1 4]
初等行变换为
[1 0 1 3 0 1]
[0 1 1 2 -1 1]
[0 0 1 -2 2 3]
初等行变换为
[1 0 0 5 -2 -2]
[0 1 0 4 -3 -2]
[0 0 1 -2 2 3]
X =
[ 5 -2 -2]
[ 4 -3 -2]
[-2 2 3]
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