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Everything about Transpose

Matrix operation which flips a matrix over its diagonal

In linear algebra, transposition is an operation that flips a matrix over its diagonal; that is, transposition switches the row and column indices of the matrix A to produce another matrix, called the transpose of A and often denoted AT. Wikipedia →

🧭 Start here: a 6-step reading path

  1. Read the overview: TransposeA 5-minute orientation
  2. Skim a recent paper: TranCIM: Full-Digital Bitline-Transpose CIM-based Sparse Transformer Accelerator With Pipeline/Parallel Reconfigurable ModesInfluential work since 2022
  3. Pick up a classic book: Survival of the SickestThe most-reprinted book on the subject
  4. Read the landmark paper: Ty elements transpose through an RNA intermediateCited 637 times
  5. Go sideways: Hermitian matrixA closely related topic
  6. Go sideways: Square matrixA closely related topic

📖 Definitions

Verb To reverse or change the order of (two or more things); to swap or interchange.

Verb To rewrite or perform (a piece) in another key.

Verb To move (a term) from one side of an algebraic equation to the other, reversing the sign of the term.

Verb To rearrange elements in a matrix, by interchanging their respective row and column positional indicators.

🏆 Landmark papers (most cited)

🆕 Influential since 2022

📚 Books worth reading

Ranked by number of editions on Open Library, a rough measure of how lasting a book is.

🔗 Related topics