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by Ciro Santilli (@cirosantilli, 37)

Transpose (MT)

 ... Mathematics Area of mathematics Algebra Linear algebra Matrix Matrix operation
 1 By others on same topic  0 Discussions  Updated 2025-05-26  +Created 1970-01-01  See my version
  • Table of contents
    • Transpose of a matrix multiplication Transpose
    • Inverse of the transpose Transpose

Transpose of a matrix multiplication

 0  0 
Transpose
When it distributes it inverts the order of the matrix multiplication:
(MN)T=NTMT
(1)

Inverse of the transpose

 0  0 
Transpose
The transpose and matrix inverse commute:
(MT)−1=(M−1)T
(1)

 Ancestors (7)

  1. Matrix operation
  2. Matrix
  3. Linear algebra
  4. Algebra
  5. Area of mathematics
  6. Mathematics
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 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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 Articles by others on the same topic (1)

Transpose by Wikipedia Bot 0  1970-01-01
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