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Kunze Linear Algebra
· Problem 3.7.7
Linear Transformations
Mathematics — Methods · transpose-isomorphism
Problem
Let
V
V
V
be a finite-dimensional vector space over the field
F
F
F
. Show that
T
→
T
t
T \to T^t
T
→
T
t
is an isomorphism of
L
(
V
,
V
)
L(V, V)
L
(
V
,
V
)
onto
L
(
V
∗
,
V
∗
)
L(V^*, V^*)
L
(
V
∗
,
V
∗
)
.
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