Transpose Mathematica Apr 2026

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

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

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)

Are you working with or multidimensional tensors for a specific project? Transpose - Wolfram Language Documentation Transposition is used to rotate images 90°

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}}

For complex matrices, use ConjugateTranspose[m] (or m ) if you need the Hermitian adjoint rather than a simple swap of indices. 5. Advanced Alternatives For simple 2D lists, Thread[list] is often used

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