I would like to get some help with finding the derivative of the next function:
$F: GL(n,\mathbb{R}) \mapsto GL(n,R) $ , defined by $F(A)=A^{-1} $.
One can try find the derivative of the known formula for finding inverse of a metrix by
$A^{-1}=\frac{1}{det(A)} adj(A) $
I tried to be sophisticated , using the inverse function formula, but the inverse of the given function, as I see it, is just the same function. Is that right?
2026-04-18 18:05:55.1776535555
Inverse of matrix derivative
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