I understand that Linear Applications are a connection between two vector subspaces, that connection must fulfill three conditions:
I need to know if there is any use of Linear Applications in information technologies. If there are some concepts to start investigating.
A famous application of Linear Algebra to technology is Google Page Rank.
The various concepts it employs are stochastic matrices, eigendecompositions, and numerical methods for computing the largest magnitude eigenvalue of a matrix, such as power iteration.