Transpose Mathematica Page

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

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 Mathematica

Are you working with or multidimensional tensors for a specific project? Transpose - Wolfram Language Documentation For arrays with depth greater than 2, Transpose

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

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}}

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