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by
Ciro Santilli
(
@cirosantilli,
34
)
Transpose
(
M
T
)
...
Mathematics
Area of mathematics
Algebra
Linear algebra
Matrix
Matrix operation
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Updated
2024-11-19
Created
1970-01-01
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Table of contents
Transpose of a matrix multiplication
Transpose
Inverse of the transpose
Transpose
Transpose of a matrix multiplication
0
0
0
Transpose
When it distributes it inverts the order of the
matrix multiplication
:
(
M
N
)
T
=
N
T
M
T
(1)
Inverse of the transpose
0
0
0
Transpose
The
transpose
and
matrix inverse
commute:
(
M
T
)
−
1
=
(
M
−
1
)
T
(1)
Ancestors
(7)
Matrix operation
Matrix
Linear algebra
Algebra
Area of mathematics
Mathematics
Home
Incoming links
(3)
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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