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Transposes `a`

, where `a`

is a Tensor.

tf.transpose( a, perm=None, conjugate=False, name='transpose' )

Permutes the dimensions according to the value of `perm`

.

The returned tensor's dimension `i`

will correspond to the input dimension `perm[i]`

. If `perm`

is not given, it is set to (n-1...0), where n is the rank of the input tensor. Hence by default, this operation performs a regular matrix transpose on 2-D input Tensors.

If conjugate is `True`

and `a.dtype`

is either `complex64`

or `complex128`

then the values of `a`

are conjugated and transposed.

x = tf.constant([[1, 2, 3], [4, 5, 6]]) tf.transpose(x) <tf.Tensor: shape=(3, 2), dtype=int32, numpy= array([[1, 4], [2, 5], [3, 6]], dtype=int32)>

Equivalently, you could call `tf.transpose(x, perm=[1, 0])`

.

If `x`

is complex, setting conjugate=True gives the conjugate transpose:

x = tf.constant([[1 + 1j, 2 + 2j, 3 + 3j], [4 + 4j, 5 + 5j, 6 + 6j]]) tf.transpose(x, conjugate=True) <tf.Tensor: shape=(3, 2), dtype=complex128, numpy= array([[1.-1.j, 4.-4.j], [2.-2.j, 5.-5.j], [3.-3.j, 6.-6.j]])>

'perm' is more useful for n-dimensional tensors where n > 2:

x = tf.constant([[[ 1, 2, 3], [ 4, 5, 6]], [[ 7, 8, 9], [10, 11, 12]]])

As above, simply calling `tf.transpose`

will default to `perm=[2,1,0]`

.

To take the transpose of the matrices in dimension-0 (such as when you are transposing matrices where 0 is the batch dimesnion), you would set `perm=[0,2,1]`

.

tf.transpose(x, perm=[0, 2, 1]) <tf.Tensor: shape=(2, 3, 2), dtype=int32, numpy= array([[[ 1, 4], [ 2, 5], [ 3, 6]], [[ 7, 10], [ 8, 11], [ 9, 12]]], dtype=int32)>

Note:This has a shorthand`linalg.matrix_transpose`

):

Args | |
---|---|

`a` | A `Tensor` . |

`perm` | A permutation of the dimensions of `a` . This should be a vector. |

`conjugate` | Optional bool. Setting it to `True` is mathematically equivalent to tf.math.conj(tf.transpose(input)). |

`name` | A name for the operation (optional). |

Returns | |
---|---|

A transposed `Tensor` . |

In `numpy`

transposes are memory-efficient constant time operations as they simply return a new view of the same data with adjusted `strides`

.

TensorFlow does not support strides, so `transpose`

returns a new tensor with the items permuted.

© 2020 The TensorFlow Authors. All rights reserved.

Licensed under the Creative Commons Attribution License 3.0.

Code samples licensed under the Apache 2.0 License.

https://www.tensorflow.org/versions/r2.4/api_docs/python/tf/transpose