How can i compute inverse of 3-dimensional matrix?

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Rajeev Prajapati
Rajeev Prajapati 2015-5-22
编辑： Walter Roberson 2015-5-22
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]?

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回答（2 个）

John D'Errico
John D'Errico 2015-5-22
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.
Youssef Khmou
Youssef Khmou 2015-5-22
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).

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