Skip to Content
Game Physics Cookbook
book

Game Physics Cookbook

by Gabor Szauer
March 2017
Intermediate to advanced
480 pages
11h 3m
English
Packt Publishing
Content preview from Game Physics Cookbook

Determinant of a 3x3 matrix

We can find the determinant of any matrix through Laplace Expansion. We will be using this method to find the determinant of 3 X 3 and higher order matrices. We also used this method to find the determinant of 2 X 2 matrices; we just expanded the method by hand for that function to avoid looping:

Determinant of a 3x3 matrix

To follow the formula, we loop through the first row of the matrix and multiply each element with the respective element of the cofactor matrix. Then, we sum up the result of each multiplication. The resulting sum is the determinant of the matrix.

Using the first row is an arbitrary choice. You can do this equation on any row of ...

Become an O’Reilly member and get unlimited access to this title plus top books and audiobooks from O’Reilly and nearly 200 top publishers, thousands of courses curated by job role, 150+ live events each month,
and much more.

Read now

Unlock full access

More than 5,000 organizations count on O’Reilly

AirBnbBlueOriginElectronic ArtsHomeDepotNasdaqRakutenTata Consultancy Services

QuotationMarkO’Reilly covers everything we've got, with content to help us build a world-class technology community, upgrade the capabilities and competencies of our teams, and improve overall team performance as well as their engagement.
Julian F.
Head of Cybersecurity
QuotationMarkI wanted to learn C and C++, but it didn't click for me until I picked up an O'Reilly book. When I went on the O’Reilly platform, I was astonished to find all the books there, plus live events and sandboxes so you could play around with the technology.
Addison B.
Field Engineer
QuotationMarkI’ve been on the O’Reilly platform for more than eight years. I use a couple of learning platforms, but I'm on O'Reilly more than anybody else. When you're there, you start learning. I'm never disappointed.
Amir M.
Data Platform Tech Lead
QuotationMarkI'm always learning. So when I got on to O'Reilly, I was like a kid in a candy store. There are playlists. There are answers. There's on-demand training. It's worth its weight in gold, in terms of what it allows me to do.
Mark W.
Embedded Software Engineer

You might also like

Game Physics Engine Development, 2nd Edition

Game Physics Engine Development, 2nd Edition

Ian Millington
Physics for Game Developers, 2nd Edition

Physics for Game Developers, 2nd Edition

Bryan Bywalec, David M Bourg
3D Graphics Rendering Cookbook

3D Graphics Rendering Cookbook

Sergey Kosarevsky, Viktor Latypov

Publisher Resources

ISBN: 9781787123663