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Kunze Linear Algebra
· Problem 10.4.1
Bilinear Forms
Mathematics — Methods · orthogonal-group-closure
Problem
Let
M
M
M
be a member of the complex orthogonal group,
O
(
n
,
C
)
O(n, C)
O
(
n
,
C
)
. Show that
M
t
M^t
M
t
,
M
‾
\overline{M}
M
, and
M
∗
=
M
‾
t
M^* = \overline{M}^t
M
∗
=
M
t
also belong to
O
(
n
,
C
)
O(n, C)
O
(
n
,
C
)
.
Related theory
Group Frequencies And Functional Group Identification
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