How can i compute inverse of 3-dimensional matrix?

If

 a11=[0.1 0.4 0.5 0.6];
 a12=[0.5 0.04 0.045 0.0006];
 a13 = [0.0055 0.4 0.0445 0.10006];
 a21 = [0.155 0.1044 0.045 0.1006];
 a22 = [0.55 0.104 0.2045 0.06];
 a23 = [0.55 0.0044 0.45 0.006];
 a31= [0.155 0.1044 0.045 0.1006];
 a32=[0.1 0.9 0.005 0.006];
 a33=[0.001 0.002 0.002 0.105];

Then, how can i compute inverse of matrix A=[a11,a12,a13;a21,a22,a23;a31,a32,a33]?

Answer 1

[John D'Errico]

The inverse of a 3-d matrix has no definition in mathematics that I know of. So in order to do what you want, you first need to define that operation. Then you need to write code for that purpose.

Answer 2

[Youssef Khmou]

There is misunderstanding between the question and the provided example, according the question, Jhon's answer is correct, three dimensional matrices are out of scope, but the example you gave is a 3 by 12 matrix, generally for non square matrix, the inverse is generalized inverse pinv(A).