Mathematica - Transpose

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

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 Mathematica

For complex matrices, use ConjugateTranspose[m] (or m ) if you need the Hermitian adjoint rather than a simple swap of indices. 5. Advanced Alternatives Transposition is used to rotate images 90°

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[{{a, b, c}, {d, e, f}}] Output: {{a,