How to create a n by n identity matrix in NumPy?

Learn how to create an identity matrix in NumPy Python.

This guide will walk you through the steps to generate n by n identity matrices effortlessly. Whether you're a beginner exploring matrix algebra or an experienced data scientist requiring identity matrices for your computations, this tutorial simplifies the process. . Discover how to harness NumPy's power to create these fundamental mathematical structures with ease.

What is an identity matrix in NumPy?

Identity matrices are fundamental in linear algebra and various mathematical operations, serving as essential tools in countless applications. In NumPy, the Python library for numerical computing, creating these matrices is remarkably straightforward.Let us see how to create an identity matrix in Python NumPy.

Learn to Build a Neural network from Scratch using NumPy 

How to create a n by n identity matrix in NumPy?

Here's a short guide on using NumPy on how to create an identity matrix of a certain size in Python.

Step 1: Define the Identity Function

First, define a Python function called identity that takes an integer n as input:

def identity(n):

    m = [[0 for x in range(n)] for y in range(n)]

    for i in range(n):

        m[i][i] = 1

    return m

In this function, a 2D list m is initialized with zeros to create an n by n matrix. Then, a for loop is used to update the diagonal elements of the matrix to 1.

Step 2: Print the Identity Matrix

To create an n by n identity matrix, simply call the identity function with the desired value of n. For example, to create a 3 by 3 identity matrix, use the following code:

print(identity(3))

Step 3:Step 3: Explore Your Identity Matrix

You will see the following output, representing a 3 by 3 identity matrix:

[[1, 0, 0], [0, 1, 0], [0, 0, 1]]

You can change the value of n to create identity matrices of different sizes.

By following these steps, you can easily create an n by n identity matrix in NumPy. 

Dive deeper in NumPy with ProjectPro!

Creating identity matrices in Python is not just a fundamental operation in linear algebra but also a crucial building block for various data analysis tasks.Their significance extends to numerous applications, including solving systems of linear equations, performing matrix transformations, and even serving as initial conditions in dynamical systems. To truly absorb the power of identity matrices, hands-on experience is key. By working on practical projects that involve these matrices, you can gain a deeper understanding of their utility and broaden your skills.  ProjectPro, a hub of expertly solved projects in data science and big data, offers you the opportunity to explore and contribute to real-world projects, allowing you to apply your knowledge and advance your career in this dynamic field. Set your journey of practical learning and professional growth in motion with ProjectPro today.

What Users are saying..

profile image

Ed Godalle

Director Data Analytics at EY / EY Tech
linkedin profile url

I am the Director of Data Analytics with over 10+ years of IT experience. I have a background in SQL, Python, and Big Data working with Accenture, IBM, and Infosys. I am looking to enhance my skills... Read More

Relevant Projects

Credit Card Fraud Detection as a Classification Problem
In this data science project, we will predict the credit card fraud in the transactional dataset using some of the predictive models.

Create Your First Chatbot with RASA NLU Model and Python
Learn the basic aspects of chatbot development and open source conversational AI RASA to create a simple AI powered chatbot on your own.

Build a Churn Prediction Model using Ensemble Learning
Learn how to build ensemble machine learning models like Random Forest, Adaboost, and Gradient Boosting for Customer Churn Prediction using Python

Recommender System Machine Learning Project for Beginners-4
Collaborative Filtering Recommender System Project - Comparison of different model based and memory based methods to build recommendation system using collaborative filtering.

FEAST Feature Store Example for Scaling Machine Learning
FEAST Feature Store Example- Learn to use FEAST Feature Store to manage, store, and discover features for customer churn prediction machine learning project.

MLOps using Azure Devops to Deploy a Classification Model
In this MLOps Azure project, you will learn how to deploy a classification machine learning model to predict the customer's license status on Azure through scalable CI/CD ML pipelines.

LLM Project to Build and Fine Tune a Large Language Model
In this LLM project for beginners, you will learn to build a knowledge-grounded chatbot using LLM's and learn how to fine tune it.

BigMart Sales Prediction ML Project in Python
The goal of the BigMart Sales Prediction ML project is to build and evaluate different predictive models and determine the sales of each product at a store.

AWS Project to Build and Deploy LSTM Model with Sagemaker
In this AWS Sagemaker Project, you will learn to build a LSTM model on Sagemaker for sales forecasting while analyzing the impact of weather conditions on Sales.

Build a Multi-Class Classification Model in Python on Saturn Cloud
In this machine learning classification project, you will build a multi-class classification model in Python on Saturn Cloud to predict the license status of a business.