feat(linear_algebra/matrix/nonsingular_inverse): adjugate_mul_distrib_aux
We prove towards the fact that the adjugate of a matrix distributes
over the product. The current proof assumes regularity of the matrices.
In the general case, this hypothesis is not required, but this lemma
will be crucial in a follow-up PR
which has to use polynomial matrices for the general case.
Additionally, we provide many API lemmas for det, cramer,
nonsing_inv, and adjugate.