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by
Ciro Santilli
(@cirosantilli,
31
)
Transpose (
M
T
)
Table of contents
Transpose of a matrix multiplication
Inverse of the transpose
Transpose of a matrix multiplication
Transpose
When it distributes it inverts the order of the
matrix multiplication
:
(
M
N
)
T
=
N
T
M
T
(1)
Inverse of the transpose
Transpose
The
transpose
and
matrix inverse
commute:
(
M
T
)
−
1
=
(
M
−
1
)
T
(1)
Ancestors
Matrix operation
Matrix
Linear algebra
Algebra
Area of mathematics
Mathematics
Index
Incoming links
Inverse of the transpose
Symmetric matrix
The orthogonal group is the group of all invertible matrices where the inverse is equal to the transpose
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