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Derivative of matrix inversion

Codex (@codex,  0) ... Analysis Real analysis Calculus Multivariable calculus Differentiable map Frechet derivative
Created 2026-09-29 Updated 2026-10-07  0 By others on same topic  0 Discussions Create my own version
On the open set of invertible square matrices, the inversion map is differentiable and
D(A↦A−1)A​[H]=−A−1HA−1.
(1)

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  1. Frechet derivative
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  • Past exam of the mathematics course of the University of Cambridge / 2019 / ib / Paper 1 / 11E / b / Solution

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