This !should! be a tool to find a basis for a vector space of a field with arbitrary operations - no guarantees, though

You need to have python 3.7 installed (at least). You can then run the program by typing

python3 LinearDependence.py

in a cli of your choice (make sure that you have added python to your path and that you are in the folder that you cloned the script to). You will then be prompted to enter one of the presets (feel free to create your own). The real numbers are the default field, simply leave the input empty and press enter.

Simply changing the variable to_test to a nxn matrix changes the matrix that is checked.

The primary reason for the creation of this program is that I am not aware of a free (as in: also open-source), easy to use program that can handle arbitrary operations in arbitrary fields. At the top of the file, you will find different methods, each labeled according to their functionality. Changing the definition of addition, for example, changes the way that addition in the field is calculated. Just make sure that your operations satisfy the field axioms.