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Lessons & Resources On Matrices

Need help on matrices?

What are matrices?
These lessons on matrices include: what are matrices, operations on matrices, determinants and inverses of matrices, using matrices to solve systems of equations, Gauss-Jordan Method, Row Reducing Method, Matrix Row Transformation, Cramer's Rule and using determinants to find the area of shapes.


Matrix Introduction

Matrices (singular: matrix, plural: matrices) have many uses in real life. One application would be to use matrices to represent a large amount of data in a concise manner so that we can process the data in various ways more conveniently.

For example, the sales of different types of pre-packed food from 3 stalls during a given period of time could be shown in the form of a table here:

Stall A

Stall B

Stall C

Packs of noodles sold




Packs of rice sold




This table can be represented as a matrix:

This matrix could then be added with another that represents the sales for a different period of time to get the total for the two periods of time, etc.

Introductory Lessons Focusing Mostly On 2×2 Matrices

More Lessons On Matrices

(include introductory as well as more advanced materials.)

Matrices Calculator with step by step solutions
Introduction to Matrices, Complex Numbers,
Matrices, Systems of Linear Equations,

Rotate to landscape screen format on a mobile phone or small tablet to use the Mathway widget, a free math problem solver that answers your questions with step-by-step explanations.

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

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