Transpose Mathematica < 2026 Release >

For complex matrices, use ConjugateTranspose[m] (or m ) if you need the Hermitian adjoint rather than a simple swap of indices. 5. Advanced Alternatives

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

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

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}}

When you have several lists of data (e.g., separate For complex matrices, use ConjugateTranspose[m] (or m )

You can use the superscript postfix operator m by typing ESC tr ESC . 2. Multi-Level Transposition (Tensors)

coordinate lists), Transpose[{xList, yList}] is the standard way to pair them into a list of {x, y} points for plotting. For arrays with depth greater than 2, Transpose

Are you working with or multidimensional tensors for a specific project? Transpose - Wolfram Language Documentation