设矩阵A=(3 0 0 0 1 -1 0 1 4 )B=(3 6 1 1 2 -3 )且满足AX=2X+B,求矩阵X3 0 0 3 6设矩阵A=0 1 -1 B=1 1 0 1 4 2 -3且满足AX=2X+B,求矩阵X

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设矩阵A=(30001-1014)B=(36112-3)且满足AX=2X+B,求矩阵X30036设矩阵A=01-1B=110142-3且满足AX=2X+B,求矩阵X设矩阵A=(30001-1014)B

设矩阵A=(3 0 0 0 1 -1 0 1 4 )B=(3 6 1 1 2 -3 )且满足AX=2X+B,求矩阵X3 0 0 3 6设矩阵A=0 1 -1 B=1 1 0 1 4 2 -3且满足AX=2X+B,求矩阵X
设矩阵A=(3 0 0 0 1 -1 0 1 4 )B=(3 6 1 1 2 -3 )且满足AX=2X+B,求矩阵X
3 0 0 3 6
设矩阵A=0 1 -1 B=1 1
0 1 4 2 -3
且满足AX=2X+B,求矩阵X

设矩阵A=(3 0 0 0 1 -1 0 1 4 )B=(3 6 1 1 2 -3 )且满足AX=2X+B,求矩阵X3 0 0 3 6设矩阵A=0 1 -1 B=1 1 0 1 4 2 -3且满足AX=2X+B,求矩阵X
(A-2E)X=B
x=(A-2E)^(-1)B
令C=(A-2E)则
x=C^(-1)B
C^(-1)= (1.0.0;0.-2,-1;0,1,1)
X=(3.6;-4.1;3.-2)

因为AX=2X+B
所以(A-2E)X=B
将(A-2E,B)作初等行变化就行