1
$\begingroup$

I have a group of data as in the following figure:

$$A=\left[\begin{array}{ccc} [0.9\,\,0.6\,\,0.9\,\,0.2] & [0.4\,\,0.3\,\,0.1\,\,0.1] & [0.1\,\,0.3\,\,0.5\,\,0.6] \\ [0.6\,\,0.7\,\,0.2\,\,0.7] & [0.7\,\,0.8\,\,0.1\,\,0.6] & [0.8\,\,0.7\,\,0.8\,\,0.3] \\ [0.1\,\,0.6\,\,0.5\,\,0.3 & [0.8\,\,0.5\,\,0.4\,\,0.4] & [0.3\,\,0.6\,\,0.8\,\,0.5] \end{array}\right].$$

It is a 3x3 matrix whose elements are arrays. I even don't know how I can call it, but I need to know if the inverse of matrix $A$ ($A^{-1}$) is possible or not. Or is it mathematically correct approach to the inversion concept?

Thank you

Image of data set

$\endgroup$
0
$\begingroup$

the elements of your matrix are elements of $R^n$ for n=4.As far as i know there is not a way to define multiplication and prove that $R^4$ is a field .the definition of an inverse matrix is $AA^{-1}=I$ that requires multiplication of the elements of your matrix and its inverses. so i dont think you can do much about it.

$\endgroup$

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Not the answer you're looking for? Browse other questions tagged or ask your own question.