• ← TranslationTransform

Transpose

Transpose (SymPy, WMA)

Transpose[list]

transposes the first two levels in list. The rank of list should be less than 4.

• • square = {{1, 2, 3}, {4, 5, 6}}; Transpose[square]

• • MatrixForm[%]

• • matrix = {{1, 2}, {3, 4}, {5, 6}}; MatrixForm[Transpose[matrix]]

• • matrix3D = {{{1, 2}, {3, 4}}, {{5, 6}, {7, 8}}}; Transpose[matrix3D]

Transpose is its own inverse. Transposing a matrix twice will give you back the same thing you started out with:

• • Transpose[Transpose[matrix]] == matrix

• • Transpose[Transpose[matrix3D]] == matrix3D

If the rank of the list is 0 or 1, you get the list back

• • Transpose[{}]

• • Transpose[{a, b, c}]