Stat Trek

Teach yourself statistics

# Matrix Algebra Tutorial

This tutorial is a brief, easy-to-understand introduction to matrix algebra, emphasizing matrix methods that are widely used in statistics and mathematics. > Begin lesson 1

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 non-singular 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, easy-to-understand modules. Each lesson covers a single topic, and most lessons include one or more review questions to reinforce learning.

This tutorial is designed for students and researchers who have some familiarity with introductory statistics (e.g., a high school statistics course or Advanced Placement Statistics).

### How to Use This Tutorial

Individual lessons are accessible through the table of contents, which can be found in the vertical column 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.

Individual lessons are accessible through the table of contents, which can be accessed by tapping the "Matrix Algebra: Table of Contents" button at the top 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.