Mathematica — Transpose

For formal tensor algebra, TensorTranspose provides similar functionality but is optimized for use with symbolic tensors and operations like TensorContract .

For a standard matrix (a list of lists), Transpose[m] interchanges its rows and columns. Transpose[{{a, b, c}, {d, e, f}}] Output: {{a, d}, {b, e}, {c, f}}

Transpose only works on "rectangular" arrays, meaning all sub-lists at a given level must have the same length. Transpose Mathematica

In the Wolfram Language (Mathematica), the Transpose function is a fundamental tool for restructuring data, ranging from basic 2D matrices to complex multidimensional tensors. 1. Basic Matrix Transposition

coordinate lists), Transpose[{xList, yList}] is the standard way to pair them into a list of {x, y} points for plotting. Transposition is used to rotate images 90°

Transposition is used to rotate images 90°. A 90° clockwise rotation involves finding the transpose and then reversing each row.

Updatedshow changeshide changes. Transpose[list] Transpose[list] transposes the first two levels in list. Transpose[list,{n1,n2,…} reference.wolfram.com Transpose - Wolfram Language Documentation m n] Swaps specifically levels

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