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transpose

transpose

8.1
A new matrix made by switching the rows and columns of another matrix
  • noun
  • /trænsˈpoʊz/
  • Specialized
translation icon : transpuesta
  • The superscript T in this expression denotes the vector transpose.
  • transpose of a square
  • denote the transpose

The QK transpose softmax times we has no parameter but it's doing a lot of flops and that's powerful.

Examples

  • where C is the coefficient matrix, X is the input image, and Ct is the transpose of the coefficient matrix. (All matrices are of dimension n x n.)

    Academic text (2000)
  • AT denotes the transpose of matrix A, srA denotes the spectral radius of A, and W denotes the annihilator of subspace W.

    Academic text (2010)
  • The null space of a transpose is what?

  • Now, the storage layout for the matrix in L format is identical to the storage layout of the transpose matrix in U format. This can be seen by noting that (8) and (9) (for A^T) become

    Academic text (2000)
  • Since storing a full matrix row-wise is identical to storing its transpose column-wise, we see that C^T = C^T - B x A^T becomes D = D - E^T x F, where D = C^T, E = B^T, and A = F^T.

    Academic text (2000)
  • The transpose of a matrix is obtained by switching its rows with its columns.

  • In linear algebra, the transpose of a matrix is represented by a superscript T.

  • To solve the equation, we often need to find the transpose of the coefficient matrix.

Surface Forms

transpose singular
transposes plural

Etymology

Transpose as a noun names what you get when you 'put' rows 'across' into columns; it comes from trans- 'across' and ponere 'to put'. So the matrix transpose is the result of swapping rows and columns.