Unfortunately, I noticed that the algorithm of computing the determinant of 
MixedForm elements doesn't work for matrices of dimension higher than 3 
since MixedFormAlgebra isin general not a field.

So, is it useful to create a new matrix class for this kind of purpose? If 
so, how is the matrix implementation structured in sagemath? I couldn't 
find any helpful documentation.

And furthermore, what would be an appropriate efficient algorithm to 
compute the determinant? Is it possible to use parallel processing, and if 
so, how?

Best regards
Michael

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