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can i do inverse for array in matlab using for ? how ?

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x=[1 2 3; 4 5 6; 7 8 9]

Answers (1)

David Hill
David Hill on 18 Oct 2022
If det(x) ~=0, then matrix is invertable.Your matrix above is not.
x=[1 2 3; 4 5 6; 7 8 -1];
det(x)
ans = 30.0000
r=rref([x,eye(size(x))]);
Xinv=r(1:3,4:6)
Xinv = 3×3
-1.7667 0.8667 -0.1000 1.5333 -0.7333 0.2000 -0.1000 0.2000 -0.1000
x*Xinv
ans = 3×3
1.0000 0.0000 0 0.0000 1.0000 -0.0000 0.0000 0.0000 1.0000
Xinv*x
ans = 3×3
1.0000 0.0000 0.0000 0.0000 1.0000 0.0000 0 0 1.0000
  2 Comments
John D'Errico
John D'Errico on 18 Oct 2022
Note that using det to detemine if a matrix singular is just a bad idea. Use tools like rank, or cond instead.

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