Linear Algebra Tool kit

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

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:

  • The toolkit represents all the data (such as matrix entries, vector components and polynomial coefficients) as rational numbers, where both the numerator and denominator are stored as integers. All operations on these rational numbers are performed exactly. Note that in the current version overflow errors are not trapped.
  • Perform common matrix operations (addition, subtraction, multiplication, etc.).
  • Determine matrix rank (i.e., distinguish singular from non-singular matrices).
  • Express computations and sets of equations compactly in matrix format.

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.