True. But this is all a rabbit hole. I think the upper comment was trying to point out that real linear algebra already has work from a trial vector methods o

True. But this is all a rabbit hole. I think the upper comment was trying to point out that real linear algebra already has work from a trial vector methods of solution. So there is some precedent for non-factorization based solutions. But even that detracts that this really does seem to be a new method for finite fields.