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based on an earlier version of the Wolfram Language.
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Transpose

Transpose[list]
transposes the first two levels in list.
Transpose
transposes list so that the k^(th) level in list is the ^(th) level in the result.
  • Transpose gives the usual transpose of a matrix.
  • So long as the lengths of the lists at particular levels are the same, the specifications do not necessarily have to be distinct.
Transpose a 2×3 matrix:
Transpose a 2×3 matrix:
In[1]:=
Click for copyable input
Out[1]=
s is a sparse matrix:
Transpose[s] is sparse:
The indices have, in effect, just been reversed:
Enter using Esc tr Esc:
Get the leading diagonal by transposing two identical levels:
Multidimensionalize (in the tensor product sense) a one-dimensional list command:
Accumulate values of a tensor at all levels:
Import data from an image:
Flip the image by reversing at both levels:
T is a tensor with dimensions 2, 3, 4:
Transposing by a permutation transposes the element positions by :
Transpose is equivalent to Diagonal[m]:
Transpose only works for rectangular arrays:
Generalize transposition by padding:
Eliminate the padding:
New in 1 | Last modified in 5.1