Numpy Tutorial

Creating NumPy Array

NumPy Array Manipulation

Matrix in NumPy

Operations on NumPy Array

Reshaping NumPy Array

Indexing NumPy Array

Arithmetic operations on NumPy Array

Linear Algebra in NumPy Array

NumPy and Random Data

Sorting and Searching in NumPy Array

Universal Functions

Working With Images

Projects and Applications with NumPy

Change the dimension of a NumPy array

Changing the dimension of a NumPy array is a crucial aspect when you're working with different datasets or trying to manipulate data to fit the requirements of specific algorithms. In this tutorial, you'll learn how to reshape and change the dimensions of NumPy arrays.

Changing the Dimension of a NumPy Array

1. Setup:

Begin by importing the necessary library:

import numpy as np

2. Creating an Example Array:

For demonstration purposes, let's create a one-dimensional array of length 12:

arr = np.arange(12)
print(arr)

This will give you:

[ 0  1  2  3  4  5  6  7  8  9 10 11]

3. Reshaping the Array:

a) Into a 2D Matrix

The most common operation is reshaping a 1D array into a 2D matrix. Using the reshape method, you can convert the array into a matrix of 3 rows and 4 columns:

matrix = arr.reshape(3, 4)
print(matrix)

Output:

[[ 0  1  2  3]
 [ 4  5  6  7]
 [ 8  9 10 11]]

b) Into a 3D Tensor

You can also reshape the array into a 3-dimensional tensor:

tensor = arr.reshape(2, 2, 3)
print(tensor)

Output:

[[[ 0  1  2]
  [ 3  4  5]]

 [[ 6  7  8]
  [ 9 10 11]]]

c) Using -1 for Automatic Calculation

If you're unsure about the size of a specific dimension, you can use -1 for NumPy to calculate it automatically:

# Reshape to have 4 rows, and let NumPy decide the number of columns
matrix = arr.reshape(4, -1)
print(matrix)

Output:

[[ 0  1  2]
 [ 3  4  5]
 [ 6  7  8]
 [ 9 10 11]]

4. Flattening the Array:

To convert a multi-dimensional array back into a one-dimensional array, you can use ravel() or flatten():

flattened = matrix.ravel()
print(flattened)

Output:

[ 0  1  2  3  4  5  6  7  8  9 10 11]

5. Transposing:

To swap rows with columns (in the case of 2D arrays), use the T attribute:

transposed = matrix.T
print(transposed)

Output:

[[ 0  3  6  9]
 [ 1  4  7 10]
 [ 2  5  8 11]]

6. Ensuring the Reshape is Possible:

Always ensure the new shape is compatible with the number of elements in the array. For example, an array with 12 elements cannot be reshaped into a shape (4, 5) as that would require 20 elements. An incompatible shape will result in a ValueError.

Conclusion:

Being able to efficiently reshape and manipulate the dimensions of NumPy arrays is a foundational skill in data processing tasks, especially in machine learning and scientific computing scenarios. Remember to keep track of the shape and size of your arrays, and make sure reshapes are feasible given the number of elements.

1. Reshape NumPy array in Python:

Reshaping a NumPy array using numpy.reshape().

import numpy as np

# Creating a 1D array
array_1d = np.array([1, 2, 3, 4, 5, 6])

# Reshaping to a 2D array
reshaped_array_2d = np.reshape(array_1d, (2, 3))

print("Original 1D array:", array_1d)
print("Reshaped 2D array:\n", reshaped_array_2d)

2. Changing array shape in NumPy:

Changing the shape of a NumPy array using numpy.shape.

import numpy as np

# Creating a 2D array
array_2d = np.array([[1, 2, 3], [4, 5, 6]])

# Changing the shape
changed_shape = np.shape(array_2d)

print("Original 2D array:\n", array_2d)
print("Changed shape:", changed_shape)

3. How to resize a NumPy array:

Resizing a NumPy array using numpy.resize().

import numpy as np

# Creating a 1D array
array_1d = np.array([1, 2, 3, 4, 5, 6])

# Resizing the array
resized_array = np.resize(array_1d, (2, 3))

print("Original 1D array:", array_1d)
print("Resized array:\n", resized_array)

4. Flatten and reshape NumPy array:

Flattening and reshaping a NumPy array using numpy.flatten() and numpy.reshape().

import numpy as np

# Creating a 2D array
array_2d = np.array([[1, 2, 3], [4, 5, 6]])

# Flattening the array
flattened_array = array_2d.flatten()

# Reshaping the flattened array
reshaped_array = np.reshape(flattened_array, (2, 3))

print("Original 2D array:\n", array_2d)
print("Flattened array:", flattened_array)
print("Reshaped array:\n", reshaped_array)

5. Reshaping multi-dimensional arrays in NumPy:

Reshaping multi-dimensional arrays in NumPy using numpy.reshape().

import numpy as np

# Creating a 3D array
array_3d = np.array([[[1, 2], [3, 4]],
                     [[5, 6], [7, 8]]])

# Reshaping to a 2D array
reshaped_array_2d = np.reshape(array_3d, (2, 4))

print("Original 3D array:\n", array_3d)
print("Reshaped 2D array:\n", reshaped_array_2d)

6. NumPy array shape manipulation:

Manipulating the shape of a NumPy array using numpy.reshape().

import numpy as np

# Creating a 1D array
array_1d = np.array([1, 2, 3, 4, 5, 6])

# Reshaping to a 2D array
reshaped_array_2d = np.reshape(array_1d, (2, -1))  # Use -1 for automatic dimension calculation

print("Original 1D array:", array_1d)
print("Reshaped 2D array:\n", reshaped_array_2d)

7. Python NumPy change array dimensions:

Changing the dimensions of a NumPy array using numpy.reshape().

import numpy as np

# Creating a 1D array
array_1d = np.array([1, 2, 3, 4, 5, 6])

# Changing dimensions to a 3D array
changed_dimensions = np.reshape(array_1d, (1, 2, 3))

print("Original 1D array:", array_1d)
print("Changed dimensions (3D array):\n", changed_dimensions)

8. Transforming array dimensions with NumPy:

Transforming array dimensions using numpy.transpose().

import numpy as np

# Creating a 2D array
array_2d = np.array([[1, 2, 3], [4, 5, 6]])

# Transposing array dimensions
transposed_array = np.transpose(array_2d)

print("Original 2D array:\n", array_2d)
print("Transposed array:\n", transposed_array)

9. Resizing and reordering dimensions in NumPy:

Resizing and reordering dimensions in NumPy using numpy.reshape().

import numpy as np

# Creating a 2D array
array_2d = np.array([[1, 2, 3], [4, 5, 6]])

# Resizing and reordering dimensions
reshaped_array = np.reshape(array_2d, (1, 3, 2))

print("Original 2D array:\n", array_2d)
print("Reshaped array with reordered dimensions:\n", reshaped_array)

10. NumPy array transpose and reshape:

Using numpy.transpose() and numpy.reshape() for array transpose and reshape.

import numpy as np

# Creating a 2D array
array_2d = np.array([[1, 2, 3], [4, 5, 6]])

# Transposing and reshaping
transposed_reshaped_array = np.transpose(array_2d).reshape((3, 2))

print("Original 2D array:\n", array_2d)
print("Transposed and Reshaped array:\n", transposed_reshaped_array)