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Derivative of matrix inversion
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Analysis
Real analysis
Calculus
Multivariable calculus
Differentiable map
Frechet derivative
Created
2026-09-29
Updated
2026-10-07
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On the
open set
of
invertible
square matrices
, the inversion
map
is
differentiable
and
D
(
A
↦
A
−
1
)
A
[
H
]
=
−
A
−
1
H
A
−
1
.
(1)
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(9)
Frechet derivative
Differentiable map
Multivariable calculus
Calculus
Real analysis
Analysis
Area of mathematics
Mathematics
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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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