Transpose Mathematica -

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

For simple 2D lists, Thread[list] is often used as a more readable shorthand for transposing the first two levels. Transpose Mathematica

You can use the superscript postfix operator m by typing ESC tr ESC . 2. Multi-Level Transposition (Tensors) Mathematica treats matrices as nested lists

Transpose[m, {1, 1}] on a square matrix returns the main diagonal, equivalent to Diagonal[m] . 4. Important Constraints Transpose[list, {n1, n2,

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

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