Matrix Algebra Tutorial
This tutorial is a brief, easytounderstand introduction to matrix algebra,
emphasizing matrix methods that are widely used in statistics and
mathematics.
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Begin lesson 1
About the Tutorial
After completing this tutorial, you will be familiar with the nomenclature
and notation used by matrix algebra. And you will be able to:
 Perform common matrix operations (addition, subtraction, multiplication,
etc.).
 Determine matrix rank (i.e., distinguish singular from nonsingular
matrices).
 Find the determinant and inverse for any square matrix.
 Use matrix algebra to solve simultaneous linear equations.
 Express computations and sets of equations compactly in matrix format.
 And more ...
Topics are introduced in short, easytounderstand modules.
Each lesson covers a single topic, and most lessons include
one or more review questions to reinforce learning.
How to Use This Tutorial
Individual lessons are accessible directly through links in the table of
contents, on the left side of the page.
If you are already familiar with matrix algebra, you can choose
any lesson at random and work effectively.
However, if you are new to the topic, you should work through lessons
in the order in which they appear; because each lesson builds on
previous lessons.
Additional Helpful Resources
As you progress through this matrix algebra tutorial,
take advantage of the following helpful resources.

Sample problems. Most of the lessons include sample problems. The sample
problems reinforce key concepts and help you test your
knowledge.

Online help. The Stat Trek
Glossary takes the mystery out of technical jargon. If any term or
concept is unclear, visit the Glossary for additional explanation.
Note: The Glossary can be accessed through the Help tab that appears
in the header at the top of every Stat Trek web page.