Since the C++ application just reads and writes MAT files, only a few of the libraries and header files are required to redistribute the application.
Refer to the following link that elaborates the steps needed to be taken to redistribute MAT-File based applications for different platforms:
As mentioned in the above website, in addition to the libraries "libmat.dll" and "libmx.dl", use the third-party software Dependency Walker to find the library dependencies:
You can also refer to the following page that lists the MAT-File Library and Include Files:
