急求一道矩阵题

AX-I=A+X
=>
AX-X = A+I
=>
(A-I)X = A+I
=>
X = (A+I)(A-I)^(-1)

A+I
=
2,0,2
0,4,0
2,0,2

A-I
=
0,0,2,
0,2,0,
2,0,0

剩下的自己算

AX-X=A+I
(A-I)X=A+I
X=(A-I)^-1*(A+I)

A=1 0 2
0 3 0
2 0 1
AX-I=A+X
(A-I)X=A+I
X=(A-I)^-1*(A+I)

A+I =
2 0 2
0 4 0
2 0 2

A-I=
0 0 2
0 2 0
2 0 0

则(A-I)^-1=
0 0 1/2
0 1/2 0
1/2 0 0

所以X=
1 0 1
0 2 0
1 0 1

其实在Matlab中直接操作（A-I）\（A+I）即可。