# Numpy Transpose, Explained

This article is originally published at https://www.sharpsightlabs.com

In this tutorial, I’ll show you how to use the Numpy transpose function.

I’ll explain what the function does, how the syntax works, and I’ll show you step-by-step examples of how to use it.

If you need something specific, you can just click on any of the following links.

**Table of Contents:**

## A Quick Introduction to Numpy Transpose

First, let’s start with a quick explanation of what Numpy transpose does.

As you’re probably aware, Numpy transpose function is a function in the Numpy package for Python.

The core data structure in Numpy is the Numpy array. A Numpy array is a row-and-column data structure that contains numbers.

Speaking generally, Numpy is a toolkit for creating arrays, but also manipulating Numpy arrays in particular ways.

That’s where Numpy transpose comes in.

### Numpy Transpose Transposes Data

Numpy transpose *transposes* Numpy arrays.

The transpose operation actually comes from math, when we’re working with matrices. In a transpose operation, we flip a matrix around its diagonal.

Effectively, a transpose operation switches the rows into columns, and switches the columns into rows. (At least, that’s what it does for a 2D array … it gets more complicated with higher dimensions.)

It’s actually a fairly simple function, but there are a few details of the syntax that affect how it works.

That being said, let’s look at the syntax.

## The Syntax of Numpy Transpose

Here, we’re going to look at the syntax of Numpy transpose.

I’ll show you what the syntax looks like at a high level, and we’ll also discuss one of the optional parameters.

#### A quick note about importing Numpy

Just a reminder that when we use Numpy, we typically import it with the alias `np`

, like this:

import numpy as np

This matters, because it changes the syntax slightly.

When we import Numpy with the alias `np`

, it means that we can call the Numpy functions with `np`

as a prefix.

This is the common convention among Python programmers, so I’m going to assume that you’ve imported Numpy as above, with this alias.

### np.transpose syntax

The Numpy transpose function is actually fairly simple.

You call the function as `np.transpose()`

.

Inside the parenthesis, the first input is the Numpy array that you want to operate on.

There is also an optional parameter, `axes`

, that we can use for more advanced use cases.

Let’s take a look at these inputs and parameters.

### The parameters of np.transpose

Here, we’ll look at the two inputs to the transpose function.

`input_array`

`axes`

`input_array`

(required)

The “`input_array`

” is, as you might have guessed, the array that you’re operating on.

This is required. You need to provide an array or similar object.

Having said that, in addition to Numpy arrays, this function will also accept array-like objects such as Python lists.

`axes`

The `axes`

parameter enables you to specify the new ordering of the axes in the output.

Remember: when we transpose an array, we’re effectively reordering the axes of the array.

The argument to the `axes`

parameter is a tuple or list of *integers*. The integers are the axis numbers, ordered according the the new axis order in the output.

Confused?

It’s OK. It’s difficult for most people to understand and conceptualize this.

That being the case, I’ll show you an example in the examples section.

### The output of np.transpose

The output of the Numpy transpose function is an array with the axes permuted.

Keep in mind that `np.transpose()`

will return a *view* if possible.

## Examples of How to Use Numpy Transpose

Here, I’ll show you a couple of examples of how to use Numpy transpose.

**Examples:**

#### Run this code first

Just a quick reminder:

Before you run any Numpy code, you need to import Numpy.

You can import Numpy like this:

import numpy as np

Once you run that, you should be ready to go.

### EXAMPLE 1: Transpose a 2-dimensional array

First, we’ll just transpose a simple 2-dimensional array.

#### Create Array

First, we need to create an array that we can operate on.

Here, I’ll use the Numpy array function to create a simple 2-dimensional array with the values from 1 to 6:

my_array = np.array([[1,2,3] ,[4,5,6]])

#### Transpose Array

Next, we’re going to use Numpy transpose to transpose the array.

Here, we won’t use any of the optional parameters. We’ll just use the name of our array as the input.

np.transpose(my_array)

OUT:

array([[1, 4], [2, 5], [3, 6]])

##### Explanation

So what happened here?

This is pretty simple.

Numpy transpose *transposed* the array around the diagonal.

Effectively, for a 2D array, this just turns the rows into columns and the columns into rows.

### EXAMPLE 2: Transpose an array while explicitly using the axes parameter

Now, in this example, we’re going to do something slightly more complicated.

Here, we’re going to transpose a 3-dimensional array.

And in doing this, we’re going to explicitly use the `axes`

parameter to specify how we want to restructure and reorder the axes.

#### Create array

First, we need to create an array that we can work with.

Here, we’re going to use the Numpy array function again to create a 3D array:

my_array_3d = np.array([[[1] ,[2] ,[3]] ,[[4] ,[5] ,[6]]])

And let’s print it out so you can see it:

print(my_array_3d)

OUT:

[[[ 1] [ 2] [ 3]] [[4] [5] [6]]]

If you look carefully, this array has 3 dimensions: 2 “layers” (along axis-0), 3 rows (along axis-1), and 1 column (along axis-2).

#### Transpose array

Now, we’ll transpose the array.

Here, we’re going to use np.transpose with the

np.transpose(my_array_3d, axes = [2,0,1])

OUT:

array([[[1, 2, 3], [4, 5, 6]]])

##### Explanation

This is a little difficult to understand, so it might help to visualize it.

Remember, the original array had 2 layers, 3 rows, and 1 column:

- The layers are along axis-0
- The rows are along axis-1
- The columns are along axis-2

Ok. Now, let’s go back to the code that we used.

We transposed the array with the code `np.transpose(my_array_3d, axes = [2,0,1])`

. Notice that here, we’re using the `axes`

parameter, and we’re specifying that in the output, we want to the axes to be reordered with the order `[2,0,1]`

.

Ultimately, this is permuting the axes as follows:

- turns the columns of the original array into the new layers (axis-2 becomes axis-0)
- turns the layers of the original array into the rows (axis-0 becomes axis-1)
- turns the rows of the original array into the columns (axis-1 becomes axis-2)

This code effectively reorders the axes and restructures the data contained along those axes according to the rules described in the above bullets.

One thing to keep in mind, however, is that the output is still technically 3-dimensional … it just has 1 unit along the axis-0 dimension.

##### Leave your other questions in the comments below

Do you still have questions about Numpy transpose?

If so, leave your questions in the comments section at the bottom of the page.

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