Transpose only works on "rectangular" arrays, meaning all sub-lists at a given level must have the same length.
Transpose[m, {1, 1}] on a square matrix returns the main diagonal, equivalent to Diagonal[m] . 4. Important Constraints
For simple 2D lists, Thread[list] is often used as a more readable shorthand for transposing the first two levels. Transpose Mathematica
Are you working with or multidimensional tensors for a specific project? Transpose - Wolfram Language Documentation
coordinate lists), Transpose[{xList, yList}] is the standard way to pair them into a list of {x, y} points for plotting. Transpose only works on "rectangular" arrays, meaning all
For formal tensor algebra, TensorTranspose provides similar functionality but is optimized for use with symbolic tensors and operations like TensorContract .
Mathematica treats matrices as nested lists. For arrays with depth greater than 2, Transpose can take a second argument to specify how levels (dimensions) should be rearranged. Transpose[list] Transposes the first two levels by default. Transpose[list, {n1, n2, ...}] Rearranges the list so the -th level becomes the -th level in the result. Transpose[list, m <-> n] Swaps specifically levels , leaving others unchanged. Transpose[list, k] Cycles all levels positions to the right. 3. Key Use Cases Important Constraints For simple 2D lists, Thread[list] is
You can use the superscript postfix operator m by typing ESC tr ESC . 2. Multi-Level Transposition (Tensors)
