For example, a matrix that has a pair of identical rows, or a pair of identical columns, does not have a matrix. In such cases the demo implementation will not fail, but instead the demo inverse ...

It's not feasible to list all the machine learning algorithms that use matrix inverses -- there are just too many. That said however, examples of ML algorithms that use a matrix inverse are linear ...

For a symmetric correlation matrix, the Inverse Correlation Matrix table contains the inverse of the correlation matrix, as shown in Figure 40.14. The diagonal elements of the inverse correlation ...

The Sherman--Morrison--Woodbury formulas relate the inverse of a matrix after a small-rank perturbation to the inverse of the original matrix. The history of these formulas is presented and various ...

The inverse of the correlation matrix, however, also has important interpretations. An exposition of some of the properties connected with the inverse of the correlation matrix is provided and its use ...