Some comments about measures, Jacobians and Moore-Penrose inverse
arXiv:1911.01596
Abstract
Some general problems of Jacobian computations in non-full rank matrices are discussed in this work. In particular, the Jacobian of the Moore-Penrose inverse derived via matrix differential calculus is revisited. Then the Jacobian in the full rank case is derived under the simple and old theory of the exterior product.
7 pages