The LinearAlgebra.det method defined in this package is not very good:

1. It's restricted to Matrix, so LinearAlgebra.det fails for, e.g., LinearAlgebra.Symmetric polynomial matrices
2. It doesn't check that the matrix is square
3. It uses recursion with depth that's not statically known
4. It uses sum without an init argument, causing a dynamic dispatch warning with JET

The LinearAlgebraX package, however, provides two different methods that both work with polynomial matrices (as far as I tried): detx and cofactor_det.

Perhaps LinearAlgebraX could be used to improve the linear algebra functionality in this package.