A Note About Measures, Jacobians and Moore–Penrose Inverse
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Some general problems of Jacobian computations in non-full rank matrices are revised in this work. We prove that the Jacobian of the Moore Penrose inverse derived via matrix differential calculus is incorrect. In addition, the Jacobian in the full rank case is derived under the simple and old theory of the exterior product. © 2020, Iranian Mathematical Society.
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