Math Challenge N 2 - Matrix.

Hello everyone, here is my new post.
The exercise of today it's about Algebra or to be specifically in lesson of matrix ( Determ )

the exercise take some time to resolve and I take it from a book of Jean-Marie Monier book's, its a good exercise because you should do a different changes betwen L and C

So here is the exercise

here is the solution
Part 1

Part 2

so finally i hope you enjoy with my post and if you have another way to solve the exercise please be my guest and reply in the comments

If you want to see my previous post ( solve an Ingrale with diferent ways) click here

source of the picture