How to organize, add and multiply matrices  Bill Shillito

81,378
Views 
2,196
Questions Answered
Let’s Begin…
When you're working on a problem with lots of numbers, as in economics, cryptography or 3D graphics, it helps to organize those numbers into a grid, or matrix. Bill Shillito shows us how to work with matrices, with tips for adding, subtracting and multiplying (but not dividing!).
About TEDEd Originals
TEDEd Original lessons feature the words and ideas of educators brought to life by professional animators. Are you an educator or animator interested in creating a TEDEd original? Nominate yourself here »
Meet The Creators
Andres Bernal
Animator
Bill Shillito
Educator
Daniela Bernal
Artist
David Bernal
Director
Gustavo Martinez
Animator
Nestor B. Macias
Producer
Sonia Rodriguez
Animator
The Leading Sheep Studio
Producer
Share
Bill Shillito has made some pretty cool and very informative math videos on YouTube. Check them out here.
Still have questions after watching this video? Check out Bill's follow up video here.
There are numerous applications of matrices, both in mathematics and other sciences. Some of them merely take advantage of the compact representation of a set of numbers in a matrix. For example, in game theory and economics, the payoff matrix encodes the payoff for two players, depending on which out of a given (finite) set of alternatives the players choose. Text mining and automated thesaurus compilation makes use of documentterm matrices such as tfidf to track frequencies of certain words in several documents.
Keanu Reeves' virtual world in the The Matrix (I guess we can call all three movies "The Matrices") have more in common with this tutorial than you might suspect. Matrices are ways of organizing numbers. They are used extensively in computer graphics, simulations and information processing in general. The superintelligent artificial intelligences that created The Matrix for Keanu must have used many matrices in the process. This tutorial introduces you to what a matrix is and how we define some basic operations on them.
The Matrix is a movie made in 1999. It's about "a computer hacker learns from mysterious rebels about the true nature of his reality and his role in the war against its controllers."
Somebody asked the Yahoo community why it's impossible to divide matrices. See the conversation here. In the same way, this blogger (obviously someone who uses matrices for his job on a daily basis) argues that you can in fact divide matrices. What is going on here? Can you or can't you divide matrices? Share your answer in the appropriate place in the open answer questions in the think section.
In a lively show, mathemagician Arthur Benjamin races a team of calculators to figure out 3digit squares, solves another massive mental equation and guesses a few birthdays. How does he do it? He’ll tell you.
Matrices are ways of organizing numbers  large groups of numbers. In what situations might knowing how to compute matrices be important in everyday life?
Create and share a new lesson based on this one.
About TEDEd Originals
TEDEd Original lessons feature the words and ideas of educators brought to life by professional animators. Are you an educator or animator interested in creating a TEDEd original? Nominate yourself here »
Meet The Creators
Andres Bernal
Animator
Bill Shillito
Educator
Daniela Bernal
Artist
David Bernal
Director
Gustavo Martinez
Animator
Nestor B. Macias
Producer
Sonia Rodriguez
Animator
The Leading Sheep Studio
Producer