I've been trying to find advantages and disadvantages to using LU factorisation with pivoting to compute determinants. There's a lot of information on its usefulness in regards to solving systems of equations but I'm not looking at the factorisation in that context.

I understand that the main appeal is that guassian elimination would be easier to perform than some other methods for finding determinants (such as using minor expansion). But I'm struggling to come up with anything else.


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