Hello! I hope that I can help you with this project.
I am quite familiar with the C language, so I can create these scripts very quickly.
The first two scripts appear to be quite simple, just some reorganizing and rewriting. I have studied matrices several times in my math courses, so I am familiar with the concept of a determinant and the last requirement will also be quite straightforward. Overall, I can finish everything within 24 hours.
I'd be able to complete the code just from the outline you have posted, but if there are any more specific requirements I would love to see them. I hope to hear from you soon! Best regards.