lnagb.js

Educational linear algebra environment powered by the Web.
Tutorial — Classroom — Documentation — Examples — Lab — Builds

Started out as a bunch of JavaScript files coded to learn how linear equations and matrices could be digitally represented, lnagb.js (linear algebra dot JS) has now evolved into a learning environment where math and computer science students alike can come and study linear algebra as well as how it can be programmed on a computer.

The project comes bundled with the lnagb.js JavaScript library as its core along with detailed documentation, a step-by-step tutorial, linear algebra lectures, a digital playground, and more! With the JavaScript library, you can create linear algebra quantities (e.g. vectors, linear systems, matrices) digitally and perform operations with them, such as matrix-vector multiplication, Gaussian elimination, matrix reduction, cross multiplication, and transposition, just to name a few.

👉 First steps

Download the ZIP archive onto your computer and extract it. You then have the complete lnagb.js environment which is ready to be accessed anytime, anywhere, even when you don't have an Internet connection. Alternatively, you can use Git to clone lnagb.js onto your computer:

git clone https://github.com/cszach/lnagb.js.git

In the lnagb.js folder on your computer:

• src contains the source code, which can be studied if you're a computer science student who also wishes to create a linear algebra program.
• test/unit contains unit tests for the library.
• lib contains the compiled library, uncompressed and compressed.
• doc contains the formal detailed Markdown documentation of the library.
• web contains the whole website, which can normally be accessed online at https://cszach.github.io/lnagb.js, but since this is on your computer, you can access it even without an Internet connection.

To access the website offline, you need to start a local server. If you have Python 3 installed, you can move into the web directory and execute:

python3 -m http.server

and then go to http://localhost:8000 in your web browser. The website has all the information you need: a step-by-step tutorial to get you started, linear algebra lectures in Classroom, a live playground in Lab, the detailed documentation that helps you dive deep, and examples of the lnagb.js JavaScript library in use.

🧐 What's next?

The website has all the information you need, including...

• a step-by-step tutorial to get you started,
• linear algebra lectures,
• detailed formal documentation of the lnagb.js JavaScript library,
• examples of the library in use, and
• a playground where you can try the library in your browser console.

Remember that if you have done the installation steps in the previous section, you can access all of this anytime, anywhere, without an Internet connection.

If you have a technical question or cannot find a specific piece of information on the website, the wiki likely has the answer. If it doesn't, post your question in Issues and add the 'question' label to your post, or contact the principal author by emailing to [email protected].

✨ Example

This is a simple example of how you can perform matrix-vector multiplication using lnagb.js.

import { Matrix, Vector } from 'https://cszach.github.io/lnagb.js/builds/lnagb.js';

// Construct a 3 x 4 matrix
let matrix = new Matrix( 3, 4, [
    2, - 1, 3, 5,
    0, 2, - 3, 1,
    - 3, 4, 1, 2
] );

// Construct a vector with 4 entries
let vector = new Vector( [
    2,
    1,
    0,
    - 2
] );

// Multiply the matrix with the vector and print the entries of the product to
// the console
let product = matrix.multiply( vector );
console.log( product.elements ); // [ - 7, 0, - 6 ]

👯 Contribute to lnagb.js

Join us and help build a community of linear algebraists! Whether you are a coder, a designer, a writer, a math lover, or a student of computer science, there are improvements you can help make! We do our best to surround our contributors with help and support, so here are resources made for you:

• Contributing guidelines—Read this first! This document outlines the project so you can navigate around easier. Takes 5 mins to read.
• Project boards pin specific tasks you can help with by project component.
• The wiki has further specific guidelines you should follow when making changes.

^{Render by HoangTheBoss.}

📃 License

The work of lnagb.js is licensed under The Unlicense. This means you are free to use, copy, and share lnagb.js, all without having to ask for permissions or taking credits (although that is very much appreciated). The logo of lnagb.js (found in media/logo, media/repository-social-preview, and media/wordmark) is not licensed and cannot be copied freely, however.

The lnagb.js project supports the public domain and education through software freedom.