How to create a NumPy array using linspace in Python?

by | Nov 9, 2022 | Linear Algebra, Machine Learning Using Python, Python Pandas

A NumPy array is a data structure that can be used to store single or multi-dimensional arrays or matrices. Those arrays can later be used for advanced mathematical operations like matrix operations. As we discussed in one of our previous articles, a NumPy array can be created from a Python list. In Python, we can also use linspace to create a NumPy array. In this article, we will discuss how to create a NumPy array using linspace in Python.

In Python, we can use the numpy.linspace(start, stop, number, endpoint) to create a one-dimensional ndarray. The elements in the ndarray starts from “start”, ends at “stop”. The numbers are equally spaced and the number of numbers thus generated is indicated by “number.” The endpoint=True parameter indicates that we are including the endpoint denoted by stop.

For example,

import numpy

array1 = numpy.linspace(1, 10, 10, endpoint=True)
print(array1)
print(array1.shape)

The above example creates a one-dimensional NumPy array with 10 elements. The elements start from 1 and end at 10. The numbers are equally spaced and the number of numbers thus generated is 10. So, the output will be like the following:

[ 1.  2.  3.  4.  5.  6.  7.  8.  9. 10.]
(10,)

Please note that the output of array1.shape is (10,). It means the array is one-dimensional and it has 10 elements across its dimension, i.e. row.

Now, let’s say we want to create a two-dimensional array using the same elements. The array should now have 5 rows and 2 columns. We can now use the reshape() function along with the linspace() function to create the two-dimensional array.

import numpy
array2 = numpy.linspace(1, 10, 10, endpoint=True).reshape(5, 2)
print(array2)
print(array2.shape)

The output will be like the following:

[[ 1.  2.]
 [ 3.  4.]
 [ 5.  6.]
 [ 7.  8.]
 [ 9. 10.]]
(5, 2)

From the output of array2.shape we can see that the array has 5 rows and 2 columns in each row.

Now, let’s say we want to create a three-dimensional array …

Facebooktwitterredditpinterestlinkedinmail

Calculate the pseudoinverse of a matrix using Python

What is the pseudoinverse of a matrix? We know that if A is a square matrix with full rank, then A-1 is said to be the inverse of A if the following condition holds: $latex AA^{-1}=A^{-1}A=I $ The pseudoinverse or the Moore-Penrose inverse of a matrix is a...

Cholesky decomposition using Python

What is Cholesky decomposition? A square matrix A is said to have Cholesky decomposition if it can be written as a product of a lower triangular matrix and its conjugate transpose. $latex A=LL^{*} $ If all the entries of A are real numbers, then the conjugate...

Tensor Hadamard Product using Python

In one of our previous articles, we already discussed what the Hadamard product in linear algebra is. We discussed that if A and B are two matrices of size mxn, then the Hadamard product of A and B is another mxn matrix C such that: $latex H_{i,j}=A_{i,j} \times...

Perform tensor addition and subtraction using Python

We can use numpy nd-array to create a tensor in Python. We can use the following Python code to perform tensor addition and subtraction. import numpy A = numpy.random.randint(low=1, high=10, size=(3, 3, 3)) B = numpy.random.randint(low=1, high=10, size=(3, 3, 3)) C =...

How to create a tensor using Python?

What is a tensor? A tensor is a generalization of vectors and matrices. It is easily understood as a multidimensional array. For example, in machine learning, we can organize data in an m-way array and refer it as a data tensor. Data related to images, sounds, movies,...

How to combine NumPy arrays using horizontal stack?

We can use the hstack() function from the numpy module to combine two or more NumPy arrays horizontally. For example, we can use the following Python code to combine three NumPy arrays horizontally. import numpy A = numpy.array([[1, 2, 3], [4, 5, 6], [7, 8, 9]]) B =...

How to combine NumPy arrays using vertical stack?

Let’s say we have two or more NumPy arrays. We can combine these NumPy arrays vertically using the vstack() function from the numpy module. For example, we can use the following Python code to combine three NumPy arrays vertically. import numpy A = numpy.array([[1, 2,...

Singular Value Decomposition (SVD) using Python

What is Singular Value Decomposition (SVD)? Let A be an mxn rectangular matrix. Using Singular Value Decomposition (SVD), we can decompose the matrix A in the following way: $latex A_{m \times n}=U_{m \times m}S_{m \times n}V_{n \times n}^T $ Here, U is an mxm matrix....

Eigen decomposition of a square matrix using Python

Let A be a square matrix. Let’s say A has k eigenvalues λ1, λ2, ... λk. And the corresponding eigenvectors are X1, X2, ... Xk. $latex X_1=\begin{bmatrix} x_{11} \\ x_{21} \\ x_{31} \\ ... \\ x_{k1} \end{bmatrix} \\ X_2=\begin{bmatrix} x_{12} \\ x_{22} \\ x_{32} \\ ......

How to calculate eigenvalues and eigenvectors using Python?

In our previous article, we discussed what eigen values and eigenvectors of a square matrix are and how we can calculate the eigenvalues and eigenvectors of a square matrix mathematically. We discussed that if A is a square matrix, then $latex (A- \lambda I) \vec{u}=0...

Amrita Mitra

Author

Ms. Amrita Mitra is an author, who has authored the books “Cryptography And Public Key Infrastructure“, “Web Application Vulnerabilities And Prevention“, “A Guide To Cyber Security” and “Phishing: Detection, Analysis And Prevention“. She is also the founder of Asigosec Technologies, the company that owns The Security Buddy.

0 Comments

Submit a Comment

This site uses Akismet to reduce spam. Learn how your comment data is processed.

Not a premium member yet?

Please follow the link below to buy The Security Buddy Premium Membership.

Featured Posts

Translate »