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Returns an array with axes transposed.
For a 1-D array, this returns an unchanged view of the original array, as a
transposed vector is simply the same vector.
To convert a 1-D array into a 2-D column vector, an additional dimension
must be added, e.g., np.atleast_2d(a).T achieves this, as does
a[:, np.newaxis].
For a 2-D array, this is the standard matrix transpose.
For an n-D array, if axes are given, their order indicates how the
axes are permuted (see Examples). If axes are not provided, then
transpose(a).shape == a.shape[::-1].
Input array.
If specified, it must be a tuple or list which contains a permutation
of [0, 1, , N-1] where N is the number of axes of a. Negative
indices can also be used to specify axes. The i-th axis of the returned
array will correspond to the axis numbered axes[i] of the input.
If not specified, defaults to range(a.ndim)[::-1], which reverses
the order of the axes.
a with its axes permuted. A view is returned whenever possible.
See also
ndarray.transposeEquivalent method.
moveaxisMove axes of an array to new positions.
argsortReturn the indices that would sort an array.
Notes
Use transpose(a, argsort(axes)) to invert the transposition of tensors
when using the axes keyword argument.
Examples
>>> import numpy as np
>>> a = np.array([[1, 2], [3, 4]])
>>> a
array([[1, 2],
[3, 4]])
>>> np.transpose(a)
array([[1, 3],
[2, 4]])
>>> a = np.array([1, 2, 3, 4])
>>> a
array([1, 2, 3, 4])
>>> np.transpose(a)
array([1, 2, 3, 4])
>>> a = np.ones((1, 2, 3))
>>> np.transpose(a, (1, 0, 2)).shape
(2, 1, 3)
>>> a = np.ones((2, 3, 4, 5))
>>> np.transpose(a).shape
(5, 4, 3, 2)
>>> a = np.arange(3*4*5).reshape((3, 4, 5))
>>> np.transpose(a, (-1, 0, -2)).shape
(5, 3, 4)
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