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.
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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 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 "Probability Sampling" 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.